﻿107:@0.911172:0.510692:0.939532:0.510692:0.939532:0.494068:0.911172:0.494068:0.000000:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
Para el cálculo del área y el volumen de figuras geométricas utilizaremos las siguientes fórmulas  :@0.120878:0.172786:0.888684:0.172786:0.888684:0.156397:0.120878:0.156397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas.:@0.120878:0.189382:0.218321:0.189382:0.218321:0.172993:0.120878:0.172993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área y volumen de figuras geométricas:@0.119762:0.141978:0.700685:0.141978:0.700685:0.101242:0.119762:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el área y el volumen de distintas figuras geométricas aplicando las fórmulas respectivas. (Ref. M.4.20. y M.4.2.21.):@0.130375:0.074999:0.688004:0.074999:0.688004:0.064570:0.130375:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.918057:0.122645:0.951619:0.122645:0.951619:0.065614:0.918057:0.065614:0.000000:0.000000
Figura:@0.195141:0.217550:0.241043:0.217550:0.241043:0.202185:0.195141:0.202185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área lateral:@0.367490:0.217550:0.450263:0.217550:0.450263:0.202185:0.367490:0.202185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área Total:@0.563677:0.217550:0.635662:0.217550:0.635662:0.202185:0.563677:0.202185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Volumen:@0.757888:0.217550:0.823038:0.217550:0.823038:0.202185:0.757888:0.202185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cubo:@0.199849:0.239565:0.236335:0.239565:0.236335:0.224666:0.199849:0.224666:0.000000:0.000000:0.000000:0.000000
A:@0.321588:0.239565:0.330584:0.239565:0.330584:0.224691:0.321588:0.224691:0.000000
L:@0.330583:0.242446:0.334626:0.242446:0.334626:0.233774:0.330583:0.233774:0.000000
 =  2:@0.334625:0.239570:0.365165:0.239570:0.365165:0.224671:0.334625:0.224671:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.351947:0.239570:0.360373:0.239570:0.360373:0.224696:0.351947:0.224696:0.000000
Donde:  :@0.321592:0.258216:0.377913:0.258216:0.377913:0.243317:0.321592:0.243317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.321592:0.273303:0.330018:0.273303:0.330018:0.258429:0.321592:0.258429:0.000000
 es el lado.:@0.330018:0.273303:0.398869:0.273303:0.398869:0.258404:0.330018:0.258404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512385:0.239570:0.521381:0.239570:0.521381:0.224696:0.512385:0.224696:0.000000
T:@0.520402:0.242446:0.524709:0.242446:0.524709:0.233774:0.520402:0.233774:0.000000
 = 6 2:@0.524709:0.239570:0.563424:0.239570:0.563424:0.224671:0.524709:0.224671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.550207:0.239570:0.558633:0.239570:0.558633:0.224696:0.550207:0.224696:0.000000
V:@0.703173:0.239570:0.711465:0.239570:0.711465:0.224696:0.703173:0.224696:0.000000
 =  3:@0.711465:0.239570:0.741887:0.239570:0.741887:0.224671:0.711465:0.224671:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.728787:0.239570:0.737214:0.239570:0.737214:0.224696:0.728787:0.224696:0.000000
Prisma:@0.195994:0.354940:0.240187:0.354940:0.240187:0.340041:0.195994:0.340041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.321587:0.354940:0.330583:0.354940:0.330583:0.340066:0.321587:0.340066:0.000000
L:@0.330583:0.357813:0.334626:0.357813:0.334626:0.349142:0.330583:0.349142:0.000000
 =     :@0.334625:0.354937:0.376134:0.354937:0.376134:0.340038:0.334625:0.340038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P h:@0.351947:0.354937:0.384778:0.354937:0.384778:0.340063:0.351947:0.340063:0.000000:0.000000:0.000000
B:@0.359921:0.357813:0.364609:0.357813:0.364609:0.349142:0.359921:0.349142:0.000000
⋅:@0.368277:0.355553:0.372465:0.355553:0.372465:0.341396:0.368277:0.341396:0.000000
Donde:  :@0.321588:0.373583:0.377910:0.373583:0.377910:0.358684:0.321588:0.358684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.321588:0.388671:0.329562:0.388671:0.329562:0.373797:0.321588:0.373797:0.000000
B :@0.329561:0.391553:0.336007:0.391553:0.336007:0.382882:0.329561:0.382882:0.000000:0.000000
 es el perímetro de la :@0.336007:0.388677:0.479088:0.388677:0.479088:0.373778:0.336007:0.373778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base,:@0.321583:0.403765:0.355557:0.403765:0.355557:0.388866:0.321583:0.388866:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.321583:0.422410:0.330227:0.422410:0.330227:0.407537:0.321583:0.407537:0.000000
 es la altura.:@0.330227:0.422410:0.407456:0.422410:0.407456:0.407511:0.330227:0.407511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512376:0.354931:0.521372:0.354931:0.521372:0.340057:0.512376:0.340057:0.000000
T:@0.520402:0.357813:0.524709:0.357813:0.524709:0.349142:0.520402:0.349142:0.000000
 =   + 2:@0.524709:0.354937:0.580567:0.354937:0.580567:0.340038:0.524709:0.340038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.542031:0.354937:0.551027:0.354937:0.551027:0.340063:0.542031:0.340063:0.000000
L:@0.551027:0.357813:0.555071:0.357813:0.555071:0.349142:0.551027:0.349142:0.000000
A:@0.580567:0.354937:0.589563:0.354937:0.589563:0.340063:0.580567:0.340063:0.000000
B:@0.589563:0.357813:0.594251:0.357813:0.594251:0.349142:0.589563:0.349142:0.000000
Donde:  :@0.512378:0.373589:0.568699:0.373589:0.568699:0.358690:0.512378:0.358690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  :@0.512378:0.388677:0.529078:0.388677:0.529078:0.373803:0.512378:0.373803:0.000000:0.000000:0.000000
B:@0.521374:0.391553:0.526062:0.391553:0.526062:0.382882:0.521374:0.382882:0.000000
es el área de la base.:@0.529078:0.388677:0.663932:0.388677:0.663932:0.373778:0.529078:0.373778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.703169:0.354944:0.711462:0.354944:0.711462:0.340070:0.703169:0.340070:0.000000
 =     :@0.711462:0.354944:0.753994:0.354937:0.753994:0.340038:0.711462:0.340045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A h:@0.728784:0.354944:0.762639:0.354937:0.762639:0.340063:0.728784:0.340070:0.000000:0.000000:0.000000
B:@0.737780:0.357813:0.742468:0.357813:0.742468:0.349142:0.737780:0.349142:0.000000
⋅:@0.746138:0.355553:0.750326:0.355553:0.750326:0.341396:0.746138:0.341396:0.000000
Donde: :@0.703168:0.373583:0.755820:0.373583:0.755820:0.358684:0.703168:0.358684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.703168:0.388671:0.712164:0.388671:0.712164:0.373797:0.703168:0.373797:0.000000
B:@0.712167:0.391553:0.716855:0.391553:0.716855:0.382882:0.712167:0.382882:0.000000
 es el área de la base, :@0.716854:0.388677:0.859045:0.388677:0.859045:0.373778:0.716854:0.373778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.703168:0.403765:0.711812:0.403765:0.711812:0.388891:0.703168:0.388891:0.000000
 es la altura.:@0.711812:0.403765:0.789040:0.403765:0.789040:0.388866:0.711812:0.388866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pirámide:@0.188802:0.470301:0.247368:0.470301:0.247368:0.455402:0.188802:0.455402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.321582:0.479831:0.330578:0.479831:0.330578:0.464957:0.321582:0.464957:0.000000
L:@0.330583:0.482717:0.334626:0.482717:0.334626:0.474046:0.330583:0.474046:0.000000
 =:@0.334625:0.479841:0.348278:0.479841:0.348278:0.464942:0.334625:0.464942:0.000000:0.000000
 :@0.348278:0.480156:0.352314:0.480156:0.352314:0.463767:0.348278:0.463767:0.000000
B:@0.361588:0.473181:0.366276:0.473181:0.366276:0.464509:0.361588:0.464509:0.000000
P   Ap:@0.355096:0.471562:0.390846:0.471562:0.390846:0.456688:0.355096:0.456688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.366086:0.472178:0.370274:0.472178:0.370274:0.458021:0.366086:0.458021:0.000000
2:@0.368884:0.487693:0.377059:0.487693:0.377059:0.472794:0.368884:0.472794:0.000000
Donde:  :@0.321592:0.498481:0.377913:0.498481:0.377913:0.483582:0.321592:0.483582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.321592:0.513568:0.329566:0.513568:0.329566:0.498695:0.321592:0.498695:0.000000
B:@0.329561:0.516457:0.334249:0.516457:0.334249:0.507786:0.329561:0.507786:0.000000
 es el perímetro de la :@0.334248:0.513581:0.477329:0.513581:0.477329:0.498682:0.334248:0.498682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base,:@0.321583:0.528669:0.355555:0.528669:0.355555:0.513770:0.321583:0.513770:0.000000:0.000000:0.000000:0.000000:0.000000
Ap:@0.321583:0.547314:0.339140:0.547314:0.339140:0.532441:0.321583:0.532441:0.000000:0.000000
 es la apotema del lado :@0.339140:0.547314:0.496946:0.547314:0.496946:0.532415:0.339140:0.532415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lateral.:@0.321583:0.562402:0.364771:0.562402:0.364771:0.547503:0.321583:0.547503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512376:0.470305:0.521372:0.470305:0.521372:0.455431:0.512376:0.455431:0.000000
T:@0.520402:0.473181:0.524709:0.473181:0.524709:0.464509:0.520402:0.464509:0.000000
 =   + :@0.524709:0.470305:0.572392:0.470305:0.572392:0.455406:0.524709:0.455406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.542031:0.470305:0.551027:0.470305:0.551027:0.455431:0.542031:0.455431:0.000000
L:@0.551027:0.473181:0.555071:0.473181:0.555071:0.464509:0.551027:0.464509:0.000000
A:@0.572392:0.470305:0.581388:0.470305:0.581388:0.455431:0.572392:0.455431:0.000000
B:@0.581388:0.473181:0.586076:0.473181:0.586076:0.464509:0.581388:0.464509:0.000000
Donde:  :@0.512378:0.488957:0.568699:0.488957:0.568699:0.474058:0.512378:0.474058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A  :@0.512378:0.504044:0.529078:0.504044:0.529078:0.489171:0.512378:0.489171:0.000000:0.000000:0.000000
B:@0.521374:0.506920:0.526062:0.506920:0.526062:0.498249:0.521374:0.498249:0.000000
es el área de la base.:@0.529078:0.504044:0.663932:0.504044:0.663932:0.489145:0.529078:0.489145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.703169:0.479841:0.711462:0.479841:0.711462:0.464968:0.703169:0.464968:0.000000
 =:@0.711462:0.479841:0.725115:0.479841:0.725115:0.464942:0.711462:0.464942:0.000000:0.000000
 :@0.725117:0.480156:0.729152:0.480156:0.729152:0.463767:0.725117:0.463767:0.000000
B:@0.743450:0.473181:0.748138:0.473181:0.748138:0.464509:0.743450:0.464509:0.000000
A     h:@0.732865:0.471562:0.766755:0.471562:0.766755:0.456688:0.732865:0.456688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.750907:0.472178:0.755095:0.472178:0.755095:0.458021:0.750907:0.458021:0.000000
3:@0.745714:0.487693:0.753889:0.487693:0.753889:0.472794:0.745714:0.472794:0.000000
Donde: :@0.703163:0.502052:0.755815:0.502052:0.755815:0.487153:0.703163:0.487153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.703163:0.517139:0.712159:0.517139:0.712159:0.502265:0.703163:0.502265:0.000000
B:@0.712167:0.520020:0.716855:0.520020:0.716855:0.511349:0.712167:0.511349:0.000000
 es el área de la base, :@0.716854:0.517144:0.859045:0.517144:0.859045:0.502245:0.716854:0.502245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.703168:0.532232:0.711812:0.532232:0.711812:0.517358:0.703168:0.517358:0.000000
 es la altura.:@0.711812:0.532232:0.789040:0.532232:0.789040:0.517333:0.711812:0.517333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cilindro:@0.192153:0.585667:0.244018:0.585667:0.244018:0.570768:0.192153:0.570768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.321582:0.585667:0.330578:0.585667:0.330578:0.570793:0.321582:0.570793:0.000000
L:@0.330583:0.588550:0.334626:0.588550:0.334626:0.579878:0.330583:0.579878:0.000000
 = (2     ):@0.334625:0.585673:0.394532:0.585673:0.394532:0.570774:0.334625:0.570774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π ⋅:@0.364561:0.586290:0.381615:0.586290:0.381615:0.572132:0.364561:0.572132:0.000000:0.000000:0.000000
r h:@0.385284:0.585673:0.403176:0.585673:0.403176:0.570800:0.385284:0.570800:0.000000:0.000000:0.000000
Donde: :@0.321592:0.604319:0.374244:0.604319:0.374244:0.589420:0.321592:0.589420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.321592:0.619407:0.326400:0.619407:0.326400:0.604533:0.321592:0.604533:0.000000
 es el radio de la base, :@0.326400:0.619407:0.474571:0.619407:0.474571:0.604508:0.326400:0.604508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.321592:0.634494:0.330236:0.634494:0.330236:0.619621:0.321592:0.619621:0.000000
 es la altura.:@0.330236:0.634494:0.407464:0.634494:0.407464:0.619595:0.330236:0.619595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512385:0.585673:0.521381:0.585673:0.521381:0.570800:0.512385:0.570800:0.000000
T:@0.520402:0.588550:0.524709:0.588550:0.524709:0.579878:0.520402:0.579878:0.000000
 = 2     ( + ):@0.524709:0.585673:0.614083:0.585673:0.614083:0.570774:0.524709:0.570774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π ⋅:@0.550207:0.586290:0.567260:0.586290:0.567260:0.572132:0.550207:0.572132:0.000000:0.000000:0.000000
r h   r:@0.570929:0.585673:0.609644:0.585673:0.609644:0.570800:0.570929:0.570800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Donde:  :@0.512380:0.604319:0.568701:0.604319:0.568701:0.589420:0.512380:0.589420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.512380:0.619407:0.517188:0.619407:0.517188:0.604533:0.512380:0.604533:0.000000
 es el radio de la base, :@0.517188:0.619407:0.665359:0.619407:0.665359:0.604508:0.517188:0.604508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.512380:0.634494:0.521024:0.634494:0.521024:0.619621:0.512380:0.619621:0.000000
 es la altura.:@0.521024:0.634494:0.598252:0.634494:0.598252:0.619595:0.521024:0.619595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.703173:0.585673:0.711465:0.585673:0.711465:0.570800:0.703173:0.570800:0.000000
 =     :@0.711465:0.585673:0.753994:0.585673:0.753994:0.570774:0.711465:0.570774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A h:@0.728787:0.585673:0.762639:0.585673:0.762639:0.570800:0.728787:0.570800:0.000000:0.000000:0.000000
B:@0.737781:0.588550:0.742469:0.588550:0.742469:0.579878:0.737781:0.579878:0.000000
⋅:@0.746138:0.586290:0.750326:0.586290:0.750326:0.572132:0.746138:0.572132:0.000000
Donde: :@0.703168:0.604319:0.755820:0.604319:0.755820:0.589420:0.703168:0.589420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.703168:0.619407:0.712164:0.619407:0.712164:0.604533:0.703168:0.604533:0.000000
B:@0.712167:0.622288:0.716855:0.622288:0.716855:0.613616:0.712167:0.613616:0.000000
 es el área de la base, :@0.716854:0.619412:0.859045:0.619412:0.859045:0.604513:0.716854:0.604513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.703168:0.634499:0.711812:0.634499:0.711812:0.619626:0.703168:0.619626:0.000000
 es la altura.:@0.711812:0.634499:0.789040:0.634499:0.789040:0.619600:0.711812:0.619600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cono:@0.199959:0.701036:0.236211:0.701036:0.236211:0.686137:0.199959:0.686137:0.000000:0.000000:0.000000:0.000000
A:@0.321582:0.701036:0.330578:0.701036:0.330578:0.686162:0.321582:0.686162:0.000000
L:@0.330583:0.703917:0.334626:0.703917:0.334626:0.695245:0.330583:0.695245:0.000000
 =         :@0.334625:0.701041:0.389003:0.701041:0.389003:0.686142:0.334625:0.686142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π ⋅ ⋅:@0.351947:0.701657:0.385334:0.701657:0.385334:0.687500:0.351947:0.687500:0.000000:0.000000:0.000000:0.000000:0.000000
r g:@0.372670:0.701041:0.397430:0.701041:0.397430:0.686167:0.372670:0.686167:0.000000:0.000000:0.000000
Donde:  :@0.321592:0.719687:0.377913:0.719687:0.377913:0.704788:0.321592:0.704788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.321592:0.734774:0.326400:0.734774:0.326400:0.719900:0.321592:0.719900:0.000000
 es el radio de la base, :@0.326400:0.734774:0.474571:0.734774:0.474571:0.719875:0.326400:0.719875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.321592:0.749862:0.330018:0.749862:0.330018:0.734988:0.321592:0.734988:0.000000
 es la generatriz.:@0.330018:0.749862:0.436846:0.749862:0.436846:0.734963:0.330018:0.734963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512385:0.701041:0.521381:0.701041:0.521381:0.686167:0.512385:0.686167:0.000000
T:@0.520402:0.703917:0.524709:0.703917:0.524709:0.695245:0.520402:0.695245:0.000000
 =      ( + ):@0.524709:0.701041:0.605690:0.701041:0.605690:0.686142:0.524709:0.686142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π ⋅:@0.542031:0.701657:0.559085:0.701657:0.559085:0.687500:0.542031:0.687500:0.000000:0.000000:0.000000
r g   r:@0.562754:0.701041:0.601251:0.701041:0.601251:0.686167:0.562754:0.686167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Donde:  :@0.512380:0.719687:0.568701:0.719687:0.568701:0.704788:0.512380:0.704788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.512380:0.734774:0.517188:0.734774:0.517188:0.719900:0.512380:0.719900:0.000000
 es el radio de la base, :@0.517188:0.734774:0.665359:0.734774:0.665359:0.719875:0.517188:0.719875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g :@0.512380:0.749862:0.523821:0.749862:0.523821:0.734988:0.512380:0.734988:0.000000:0.000000
es la generatriz.:@0.523821:0.749862:0.626981:0.749862:0.626981:0.734963:0.523821:0.734963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.703173:0.710571:0.711465:0.710571:0.711465:0.695697:0.703173:0.695697:0.000000
 =:@0.711465:0.710571:0.725118:0.710571:0.725118:0.695672:0.711465:0.695672:0.000000:0.000000
 :@0.725117:0.710891:0.729152:0.710891:0.729152:0.694502:0.725117:0.694502:0.000000
B:@0.743450:0.703917:0.748138:0.703917:0.748138:0.695245:0.743450:0.695245:0.000000
A     h:@0.732865:0.702298:0.766755:0.702298:0.766755:0.687424:0.732865:0.687424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.750907:0.702914:0.755095:0.702914:0.755095:0.688757:0.750907:0.688757:0.000000
3:@0.745714:0.718429:0.753889:0.718429:0.753889:0.703530:0.745714:0.703530:0.000000
Donde: :@0.703163:0.732788:0.755815:0.732788:0.755815:0.717889:0.703163:0.717889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.703163:0.747875:0.712159:0.747875:0.712159:0.733001:0.703163:0.733001:0.000000
B:@0.712167:0.750756:0.716855:0.750756:0.716855:0.742085:0.712167:0.742085:0.000000
 es el área de la base, :@0.716854:0.747880:0.859045:0.747880:0.859045:0.732981:0.716854:0.732981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.703168:0.762968:0.711812:0.762968:0.711812:0.748094:0.703168:0.748094:0.000000
 es la altura.:@0.711812:0.762968:0.789040:0.762968:0.789040:0.748069:0.711812:0.748069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esfera:@0.198652:0.816403:0.237518:0.816403:0.237518:0.801504:0.198652:0.801504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.512375:0.816403:0.521371:0.816403:0.521371:0.801529:0.512375:0.801529:0.000000
T:@0.520402:0.819284:0.524709:0.819284:0.524709:0.810613:0.520402:0.810613:0.000000
 = 4   2:@0.524709:0.816408:0.572671:0.816408:0.572671:0.801509:0.524709:0.801509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.550207:0.817024:0.559404:0.817024:0.559404:0.802867:0.550207:0.802867:0.000000
r:@0.563072:0.816408:0.567880:0.816408:0.567880:0.801534:0.563072:0.801534:0.000000
Donde:  :@0.512380:0.835054:0.568701:0.835054:0.568701:0.820155:0.512380:0.820155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.512380:0.850142:0.517188:0.850142:0.517188:0.835268:0.512380:0.835268:0.000000
 es el radio de la esfera.:@0.517188:0.850142:0.669815:0.850142:0.669815:0.835243:0.517188:0.835243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.703173:0.823424:0.711465:0.823424:0.711465:0.808550:0.703173:0.808550:0.000000
 = :@0.711465:0.823424:0.728787:0.823424:0.728787:0.808525:0.711465:0.808525:0.000000:0.000000:0.000000
   :@0.732687:0.816408:0.746893:0.816408:0.746893:0.801534:0.732687:0.801534:0.000000:0.000000:0.000000
4:@0.735702:0.816408:0.743878:0.816408:0.743878:0.801509:0.735702:0.801509:0.000000
    :@0.732687:0.830025:0.748200:0.830025:0.748200:0.815151:0.732687:0.815151:0.000000:0.000000:0.000000:0.000000
3:@0.735702:0.830025:0.743878:0.830025:0.743878:0.815126:0.735702:0.815126:0.000000
    3:@0.747781:0.823424:0.773797:0.823424:0.773797:0.808525:0.747781:0.808525:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.751450:0.824040:0.760647:0.824040:0.760647:0.809883:0.751450:0.809883:0.000000
r:@0.764316:0.823424:0.769123:0.823424:0.769123:0.808550:0.764316:0.808550:0.000000
Donde: :@0.703169:0.849199:0.755822:0.849199:0.755822:0.834300:0.703169:0.834300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.703169:0.864286:0.707977:0.864286:0.707977:0.849412:0.703169:0.849412:0.000000
 es el radio de la esfera.:@0.707977:0.864286:0.860605:0.864286:0.860605:0.849387:0.707977:0.849387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.209702:0.763916:0.218347:0.763916:0.218347:0.749042:0.209702:0.749042:0.000000
r:@0.233407:0.786283:0.238215:0.786283:0.238215:0.771409:0.233407:0.771409:0.000000
g:@0.255805:0.751594:0.264231:0.751594:0.264231:0.736721:0.255805:0.736721:0.000000
r:@0.241023:0.867212:0.245831:0.867212:0.245831:0.852338:0.241023:0.852338:0.000000
r:@0.225932:0.602731:0.230740:0.602731:0.230740:0.587857:0.225932:0.587857:0.000000
h:@0.204874:0.644373:0.213519:0.644373:0.213519:0.629499:0.204874:0.629499:0.000000
Ap:@0.238649:0.528611:0.256205:0.528611:0.256205:0.513737:0.238649:0.513737:0.000000:0.000000
ap:@0.229100:0.559930:0.245953:0.559930:0.245953:0.545056:0.229100:0.545056:0.000000:0.000000
h:@0.207389:0.533640:0.216033:0.533640:0.216033:0.518766:0.207389:0.518766:0.000000
h:@0.180232:0.409673:0.188876:0.409673:0.188876:0.394799:0.180232:0.394799:0.000000
L:@0.221911:0.453150:0.228847:0.453150:0.228847:0.438276:0.221911:0.438276:0.000000
ap:@0.235297:0.366560:0.252150:0.366560:0.252150:0.351686:0.235297:0.351686:0.000000:0.000000
a:@0.163613:0.298956:0.172040:0.298956:0.172040:0.284082:0.163613:0.284082:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000