108:@0.048054:0.510692:0.076414:0.510692:0.076414:0.494068:0.048054:0.494068:0.000000:0.000000:0.000000 2. :@0.114793:0.572849:0.133534:0.572849:0.133534:0.555713:0.114793:0.555713:0.000000:0.000000:0.000000 Determina:@0.148037:0.572849:0.229727:0.572849:0.229727:0.556225:0.148037:0.556225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área total y el volumen de un cono cuya generatriz mide 10 cm y el radio de la base es :@0.229727:0.572849:0.883410:0.572849:0.883410:0.556460:0.229727:0.556460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de 5 cm. :@0.148037:0.589445:0.214616:0.589445:0.214616:0.573056:0.148037:0.573056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.116470:0.690158:0.135211:0.690158:0.135211:0.673022:0.116470:0.673022:0.000000:0.000000:0.000000 Dos recipientes cilíndricos y de distinta altura y diámetro tienen el mismo volumen. Si el diámetro :@0.149714:0.690158:0.884997:0.690158:0.884997:0.673769:0.149714:0.673769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A B:@0.343444:0.690158:0.377295:0.690158:0.377295:0.673796:0.343444:0.673796:0.000000:0.000000:0.000000 de es la mitad del diámetro de . :@0.149714:0.706754:0.406886:0.706754:0.406886:0.690365:0.149714:0.690365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.172712:0.706754:0.182607:0.706754:0.182607:0.690393:0.172712:0.690393:0.000000 B:@0.390799:0.706754:0.399644:0.706754:0.399644:0.690393:0.390799:0.690393:0.000000 Determina:@0.406886:0.706754:0.488576:0.706754:0.488576:0.690130:0.406886:0.690130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la relación de sus alturas.:@0.488576:0.706754:0.673145:0.706754:0.673145:0.690365:0.488576:0.690365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.149714:0.730224:0.168436:0.730224:0.168436:0.713323:0.149714:0.713323:0.000000:0.000000:0.000000 h:@0.182957:0.730224:0.192466:0.730224:0.192466:0.713863:0.182957:0.713863:0.000000 A:@0.192459:0.733397:0.198228:0.733397:0.198228:0.723858:0.192459:0.723858:0.000000 = :@0.198229:0.730233:0.217283:0.730233:0.217283:0.713844:0.198229:0.713844:0.000000:0.000000:0.000000 1 :@0.217281:0.721219:0.234345:0.721219:0.234345:0.704830:0.217281:0.704830:0.000000:0.000000:0.000000 2:@0.217281:0.739876:0.230309:0.739876:0.230309:0.723487:0.217281:0.723487:0.000000:0.000000 :@0.237017:0.730237:0.241053:0.730237:0.241053:0.713848:0.237017:0.713848:0.000000 h:@0.241053:0.730237:0.250561:0.730237:0.250561:0.713875:0.241053:0.713875:0.000000 B:@0.250560:0.733397:0.255716:0.733397:0.255716:0.723858:0.250560:0.723858:0.000000 b) :@0.341438:0.730484:0.361469:0.730484:0.361469:0.713584:0.341438:0.713584:0.000000:0.000000:0.000000 h:@0.374682:0.730484:0.384190:0.730484:0.384190:0.714123:0.374682:0.714123:0.000000 A:@0.384189:0.733648:0.389958:0.733648:0.389958:0.724109:0.384189:0.724109:0.000000 = 4:@0.389958:0.730484:0.418005:0.730484:0.418005:0.714095:0.389958:0.714095:0.000000:0.000000:0.000000:0.000000 h:@0.418005:0.730484:0.427514:0.730484:0.427514:0.714123:0.418005:0.714123:0.000000 B:@0.427512:0.733648:0.432669:0.733648:0.432669:0.724109:0.427512:0.724109:0.000000 c) :@0.533168:0.730484:0.550803:0.730484:0.550803:0.713584:0.533168:0.713584:0.000000:0.000000:0.000000 h:@0.566411:0.730484:0.575920:0.730484:0.575920:0.714123:0.566411:0.714123:0.000000 A:@0.575918:0.733648:0.581687:0.733648:0.581687:0.724109:0.575918:0.724109:0.000000 = 2:@0.581686:0.730484:0.609733:0.730484:0.609733:0.714095:0.581686:0.714095:0.000000:0.000000:0.000000:0.000000 h:@0.609733:0.730484:0.619241:0.730484:0.619241:0.714123:0.609733:0.714123:0.000000 B:@0.619241:0.733648:0.624398:0.733648:0.624398:0.724109:0.619241:0.724109:0.000000 d) :@0.724897:0.730484:0.744965:0.730484:0.744965:0.713584:0.724897:0.713584:0.000000:0.000000:0.000000 h:@0.758141:0.730484:0.767649:0.730484:0.767649:0.714123:0.758141:0.714123:0.000000 A:@0.767648:0.733648:0.773417:0.733648:0.773417:0.724109:0.767648:0.724109:0.000000 = 8:@0.773415:0.730484:0.801462:0.730484:0.801462:0.714095:0.773415:0.714095:0.000000:0.000000:0.000000:0.000000 h:@0.801462:0.730484:0.810971:0.730484:0.810971:0.714123:0.801462:0.714123:0.000000 B:@0.810971:0.733648:0.816128:0.733648:0.816128:0.724109:0.810971:0.724109:0.000000 Actividad resuelta:@0.115330:0.101664:0.272452:0.101664:0.272452:0.083227:0.115330:0.083227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resolvemos:@0.115330:0.121509:0.207008:0.121509:0.207008:0.104885:0.115330:0.104885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la siguiente situación::@0.207008:0.121509:0.368635:0.121509:0.368635:0.105120:0.207008:0.105120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Se necesita elaborar un recipiente de aluminio con tapa en forma cilíndrica de 30 cm de alto y un diáme-:@0.115330:0.141674:0.879893:0.141674:0.879893:0.125285:0.115330:0.125285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tro de 20 cm. ¿Qué cantidad de aluminio se empleará? ¿Cuál es el volumen del recipiente?:@0.115330:0.158270:0.775327:0.158270:0.775327:0.141881:0.115330:0.141881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.115330:0.178435:0.184545:0.178435:0.184545:0.161534:0.115330:0.161534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.175285:0.356799:0.236179:0.356799:0.236179:0.322852:0.175285:0.322852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.4.6.3. Resuelve problemas geométricos que requieran del cálculo de áreas y volúmenes de pirámides, prismas, conos y cilindros; :@0.256306:0.339545:0.877021:0.339545:0.877021:0.329116:0.256306:0.329116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 juzga la validez de resultados.:@0.256306:0.350107:0.393928:0.350107:0.393928:0.339677:0.256306:0.339677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.114649:0.394264:0.133390:0.394264:0.133390:0.377129:0.114649:0.377129:0.000000:0.000000:0.000000 Halla :@0.147892:0.394264:0.190276:0.394264:0.190276:0.377640:0.147892:0.377640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área total y el volumen de las siguientes figuras en tu cuaderno, :@0.190276:0.394264:0.676246:0.394264:0.676246:0.377876:0.190276:0.377876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribe:@0.676246:0.394264:0.731160:0.394264:0.731160:0.377640:0.676246:0.377640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la solución aquí. :@0.731160:0.394264:0.856892:0.394264:0.856892:0.377876:0.731160:0.377876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R. :@0.157805:0.655665:0.176454:0.655665:0.176454:0.638764:0.157805:0.638764:0.000000:0.000000:0.000000 a) :@0.147412:0.419623:0.166134:0.419623:0.166134:0.402722:0.147412:0.402722:0.000000:0.000000:0.000000 b) :@0.395061:0.419623:0.415092:0.419623:0.415092:0.402722:0.395061:0.402722:0.000000:0.000000:0.000000 c) :@0.649196:0.419623:0.666832:0.419623:0.666832:0.402722:0.649196:0.402722:0.000000:0.000000:0.000000 Datos: = 30 cm; = 10 cm:@0.471480:0.203773:0.676119:0.203773:0.676119:0.187384:0.471480:0.187384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 h:@0.521272:0.203773:0.530780:0.203773:0.530780:0.187412:0.521272:0.187412:0.000000 r:@0.606444:0.203773:0.611733:0.203773:0.611733:0.187412:0.606444:0.187412:0.000000 Para la cantidad de aluminio, :@0.471480:0.221172:0.685587:0.221172:0.685587:0.204783:0.471480:0.204783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calculamos:@0.685587:0.221172:0.771497:0.221172:0.771497:0.204548:0.685587:0.204548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área total.:@0.771497:0.221172:0.863707:0.221172:0.863707:0.204783:0.771497:0.204783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.471480:0.238570:0.481376:0.238570:0.481376:0.222209:0.471480:0.222209:0.000000 T:@0.480321:0.241733:0.485058:0.241733:0.485058:0.232194:0.480321:0.232194:0.000000 = 2 (:@0.485058:0.238569:0.546072:0.238569:0.546072:0.222180:0.485058:0.222180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π ⋅:@0.513105:0.239247:0.531864:0.239247:0.531864:0.223674:0.513105:0.223674:0.000000:0.000000:0.000000 r h + r:@0.535900:0.238569:0.578486:0.238569:0.578486:0.222208:0.535900:0.222208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) = 2 10(30 + 10):@0.578486:0.238569:0.716988:0.238569:0.716988:0.222180:0.578486:0.222180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 π ⋅:@0.611416:0.239247:0.630176:0.239247:0.630176:0.223674:0.611416:0.223674:0.000000:0.000000:0.000000 A:@0.471495:0.255968:0.481391:0.255968:0.481391:0.239606:0.471495:0.239606:0.000000 T:@0.480321:0.259127:0.485058:0.259127:0.485058:0.249589:0.480321:0.249589:0.000000 = 2 513,27 cm2:@0.485058:0.255964:0.597927:0.255964:0.597927:0.239575:0.485058:0.239575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Calculamos:@0.471495:0.273362:0.559708:0.273362:0.559708:0.256738:0.471495:0.256738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el volumen.:@0.559708:0.273362:0.649431:0.273362:0.649431:0.256973:0.559708:0.256973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V = A h = :@0.471495:0.290761:0.551651:0.290752:0.551651:0.274391:0.471495:0.274400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 B:@0.508128:0.293916:0.513285:0.293916:0.513285:0.284377:0.508128:0.284377:0.000000 ⋅:@0.516601:0.291430:0.521208:0.291430:0.521208:0.275857:0.516601:0.275857:0.000000 π ⋅:@0.551651:0.291430:0.570410:0.291430:0.570410:0.275857:0.551651:0.275857:0.000000:0.000000:0.000000 152 30 = 9 424,78 cm3:@0.561767:0.290752:0.741105:0.290752:0.741105:0.274363:0.561767:0.274363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ⋅:@0.601737:0.291430:0.606344:0.291430:0.606344:0.275857:0.601737:0.275857:0.000000 30 cm:@0.383436:0.242911:0.424055:0.242911:0.424055:0.227604:0.383436:0.227604:0.000000:0.000000:0.000000:0.000000:0.000000 30 cm:@0.154694:0.242911:0.195313:0.242911:0.195313:0.227604:0.154694:0.227604:0.000000:0.000000:0.000000:0.000000:0.000000 20 cm:@0.281882:0.296550:0.322500:0.296550:0.322500:0.281243:0.281882:0.281243:0.000000:0.000000:0.000000:0.000000:0.000000 20 cm:@0.200651:0.281222:0.241270:0.281222:0.241270:0.265915:0.200651:0.265915:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.474737:0.496977:0.479660:0.496977:0.479660:0.483068:0.474737:0.483068:0.000000 = 15 :@0.479660:0.496977:0.514614:0.496977:0.514614:0.483080:0.479660:0.483080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.514614:0.496977:0.533670:0.496977:0.533670:0.483068:0.514614:0.483068:0.000000:0.000000 h = 50 cm:@0.549599:0.459517:0.609833:0.459517:0.609833:0.445609:0.549599:0.445609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 80 :@0.716972:0.506630:0.732909:0.506630:0.732909:0.495016:0.716972:0.495016:0.000000:0.000000:0.000000 mm:@0.732909:0.506630:0.753714:0.506630:0.753714:0.495006:0.732909:0.495006:0.000000:0.000000 200 :@0.744446:0.418549:0.766988:0.418549:0.766988:0.406936:0.744446:0.406936:0.000000:0.000000:0.000000:0.000000 mm:@0.766988:0.418549:0.787792:0.418549:0.787792:0.406926:0.766988:0.406926:0.000000:0.000000 ap:@0.733670:0.492310:0.747149:0.492310:0.747149:0.480686:0.733670:0.480686:0.000000:0.000000 = 96,67 :@0.747149:0.492310:0.792092:0.492310:0.792092:0.480696:0.747149:0.480696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mm:@0.792092:0.492310:0.812896:0.492310:0.812896:0.480686:0.792092:0.480686:0.000000:0.000000 6 :@0.270251:0.475133:0.279217:0.475133:0.279217:0.463943:0.270251:0.463943:0.000000:0.000000 m:@0.279217:0.475133:0.289210:0.475133:0.289210:0.463934:0.279217:0.463934:0.000000 3 :@0.272341:0.508180:0.281307:0.508180:0.281307:0.496990:0.272341:0.496990:0.000000:0.000000 m:@0.281307:0.508180:0.291300:0.508180:0.291300:0.496981:0.281307:0.496981:0.000000 4. :@0.114793:0.765969:0.133534:0.765969:0.133534:0.748833:0.114793:0.748833:0.000000:0.000000:0.000000 Halla :@0.148037:0.765969:0.190420:0.765969:0.190420:0.749345:0.148037:0.749345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el volumen de las siguientes figuras.:@0.190420:0.765969:0.454153:0.765969:0.454153:0.749580:0.190420:0.749580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.148590:0.789633:0.167312:0.789633:0.167312:0.772732:0.148590:0.772732:0.000000:0.000000:0.000000 b) :@0.533543:0.789633:0.553574:0.789633:0.553574:0.772732:0.533543:0.772732:0.000000:0.000000:0.000000 R. :@0.348037:0.920644:0.366686:0.920644:0.366686:0.903743:0.348037:0.903743:0.000000:0.000000:0.000000 R. :@0.742035:0.920644:0.760684:0.920644:0.760684:0.903743:0.742035:0.903743:0.000000:0.000000:0.000000 h h:@0.153600:0.825946:0.180740:0.825946:0.180740:0.810550:0.153600:0.810550:0.000000:0.000000:0.000000 = 5 = 5:@0.162706:0.825946:0.206881:0.825946:0.206881:0.810563:0.162706:0.810563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m m:@0.188847:0.825946:0.220659:0.825946:0.220659:0.810550:0.188847:0.810550:0.000000:0.000000:0.000000 a a:@0.173892:0.891677:0.200828:0.891677:0.200828:0.876281:0.173892:0.876281:0.000000:0.000000:0.000000 = 6 = 6:@0.182794:0.891677:0.226969:0.891677:0.226969:0.876293:0.182794:0.876293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m m:@0.208935:0.891677:0.240747:0.891677:0.240747:0.876281:0.208935:0.876281:0.000000:0.000000:0.000000 20 :@0.687794:0.819998:0.702808:0.819998:0.702808:0.809057:0.687794:0.809057:0.000000:0.000000:0.000000 cm:@0.702808:0.819998:0.717738:0.819998:0.717738:0.809048:0.702808:0.809048:0.000000:0.000000 h:@0.645031:0.831603:0.651507:0.831603:0.651507:0.820653:0.645031:0.820653:0.000000 12 :@0.663284:0.921142:0.678298:0.921142:0.678298:0.910201:0.663284:0.910201:0.000000:0.000000:0.000000 cm:@0.678298:0.921142:0.693227:0.921142:0.693227:0.910192:0.678298:0.910192:0.000000:0.000000 R. :@0.425247:0.533839:0.443896:0.533839:0.443896:0.516938:0.425247:0.516938:0.000000:0.000000:0.000000 R. :@0.678721:0.533839:0.697370:0.533839:0.697370:0.516938:0.678721:0.516938:0.000000:0.000000:0.000000 R. :@0.176454:0.533839:0.195103:0.533839:0.195103:0.516938:0.176454:0.516938:0.000000:0.000000:0.000000 A = 175,93 cm2; V = 153,56 cm3.:@0.184850:0.655457:0.414366:0.655457:0.414366:0.639068:0.184850:0.639068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = 82,15 m2; V =46,76 m3.:@0.200390:0.533778:0.365702:0.533778:0.365702:0.518879:0.200390:0.518879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = 6 126,1 cm2; :@0.452530:0.525807:0.563347:0.525807:0.563347:0.510908:0.452530:0.510908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V = 35 342,92 cm3.:@0.452530:0.540895:0.574638:0.540895:0.574638:0.525996:0.452530:0.525996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A = 189 868,8 mm2; :@0.707418:0.525807:0.840834:0.525807:0.840834:0.510908:0.707418:0.510908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V = 6 186 880 mm3.:@0.707418:0.540895:0.836528:0.540895:0.836528:0.525996:0.707418:0.525996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V = 276 cm3.:@0.382910:0.921285:0.474017:0.921285:0.474017:0.904896:0.382910:0.904896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V = 6 031,86 cm3.:@0.767182:0.920925:0.880715:0.920925:0.880715:0.904536:0.767182:0.904536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000