﻿117:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Ejemplo 1:@0.095800:0.131275:0.165306:0.131275:0.165306:0.116162:0.095800:0.116162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el volumen de los cuerpos geométricos.:@0.095800:0.155313:0.451575:0.155313:0.451575:0.139643:0.095800:0.139643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)    :@0.124289:0.179032:0.159830:0.179032:0.159830:0.161896:0.124289:0.161896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.216416:0.179032:0.220138:0.179032:0.220138:0.161896:0.216416:0.161896:0.000000
 :@0.276724:0.179032:0.280446:0.179032:0.280446:0.161896:0.276724:0.161896:0.000000
 :@0.337032:0.179032:0.340754:0.179032:0.340754:0.161896:0.337032:0.161896:0.000000
     b):@0.397333:0.179032:0.432603:0.179032:0.432603:0.161896:0.397333:0.161896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.432603:0.179032:0.436639:0.179032:0.436639:0.163362:0.432603:0.163362:0.000000
Solución:@0.095800:0.339721:0.156461:0.339721:0.156461:0.324609:0.095800:0.324609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124292:0.363760:0.143530:0.363760:0.143530:0.346624:0.124292:0.346624:0.000000:0.000000:0.000000
Se trata de una pirámide cuadrangular. Reemplazamos los datos conocidos :@0.152781:0.363760:0.698171:0.363760:0.698171:0.348090:0.152781:0.348090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la fórmula :@0.152781:0.388903:0.253044:0.388903:0.253044:0.373234:0.152781:0.373234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.269433:0.390841:0.279550:0.390841:0.279550:0.375268:0.269433:0.375268:0.000000
⋅:@0.317068:0.381879:0.321675:0.381879:0.321675:0.366306:0.317068:0.366306:0.000000
V:@0.254875:0.390163:0.263997:0.390163:0.263997:0.373802:0.254875:0.373802:0.000000
A:@0.285767:0.381205:0.295662:0.381205:0.295662:0.364844:0.285767:0.364844:0.000000
h:@0.323414:0.381205:0.332923:0.381205:0.332923:0.364844:0.323414:0.364844:0.000000
3:@0.304249:0.400650:0.313242:0.400650:0.313242:0.384981:0.304249:0.384981:0.000000
base:@0.294300:0.383209:0.313054:0.383209:0.313054:0.373727:0.294300:0.373727:0.000000:0.000000:0.000000:0.000000
 :@0.336809:0.403993:0.340845:0.403993:0.340845:0.388324:0.336809:0.388324:0.000000
 :@0.124284:0.446176:0.128006:0.446176:0.128006:0.429040:0.124284:0.429040:0.000000
cm:@0.218186:0.422718:0.241331:0.422718:0.245924:0.407049:0.222779:0.407049:0.000000:0.000000
cm:@0.287768:0.422718:0.310914:0.422718:0.315507:0.407049:0.292362:0.407049:0.000000:0.000000
cm:@0.355101:0.432344:0.378246:0.432344:0.382839:0.416675:0.359694:0.416675:0.000000:0.000000
V=:@0.158420:0.432344:0.183481:0.432344:0.183481:0.416675:0.158420:0.416675:0.000000:0.000000
4,5:@0.196012:0.422718:0.216835:0.422718:0.216835:0.407049:0.196012:0.407049:0.000000:0.000000:0.000000
12:@0.263550:0.422718:0.281332:0.422718:0.281332:0.407049:0.263550:0.407049:0.000000:0.000000
3:@0.246683:0.443266:0.255676:0.443266:0.255676:0.427597:0.246683:0.427597:0.000000
=81:@0.320761:0.432344:0.353414:0.432344:0.353414:0.416675:0.320761:0.416675:0.000000:0.000000:0.000000
2:@0.250087:0.413170:0.255299:0.413170:0.255299:0.404089:0.250087:0.404089:0.000000
3:@0.380550:0.424680:0.385762:0.424680:0.385762:0.415599:0.380550:0.415599:0.000000
(:@0.188836:0.425850:0.194972:0.425850:0.194972:0.405917:0.188836:0.405917:0.000000
):@0.243695:0.425850:0.249831:0.425850:0.249831:0.405917:0.243695:0.405917:0.000000
⋅:@0.258567:0.423396:0.263174:0.423396:0.263174:0.407823:0.258567:0.407823:0.000000
b) :@0.124285:0.469894:0.144666:0.469894:0.144666:0.452758:0.124285:0.452758:0.000000:0.000000:0.000000
Es un prisma rectangular, por tanto, reemplazamos los datos en la fórmula :@0.152774:0.469894:0.698083:0.469894:0.698083:0.454224:0.152774:0.454224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.169172:0.487173:0.179288:0.487173:0.179288:0.471600:0.169172:0.471600:0.000000
⋅:@0.215351:0.487173:0.219958:0.487173:0.219958:0.471600:0.215351:0.471600:0.000000
V:@0.154617:0.486495:0.163739:0.486495:0.163739:0.470134:0.154617:0.470134:0.000000
A:@0.184046:0.486495:0.193942:0.486495:0.193942:0.470134:0.184046:0.470134:0.000000
h:@0.221675:0.486495:0.231184:0.486495:0.231184:0.470134:0.221675:0.470134:0.000000
base:@0.192571:0.488499:0.211325:0.488499:0.211325:0.479017:0.192571:0.479017:0.000000:0.000000:0.000000:0.000000
    :@0.234871:0.492782:0.251014:0.492782:0.251014:0.477112:0.234871:0.477112:0.000000:0.000000:0.000000:0.000000
 :@0.124287:0.539141:0.128009:0.539141:0.128009:0.522005:0.124287:0.522005:0.000000
V:@0.160336:0.524772:0.169716:0.524772:0.174309:0.509103:0.164930:0.509103:0.000000
Pap:@0.189812:0.516253:0.226740:0.516253:0.231333:0.500583:0.194405:0.500583:0.000000:0.000000:0.000000
h:@0.236368:0.524772:0.246245:0.524772:0.250838:0.509103:0.240961:0.509103:0.000000
cm:@0.299731:0.516253:0.322876:0.516253:0.327469:0.500583:0.304325:0.500583:0.000000:0.000000
cm:@0.355843:0.516253:0.378988:0.516253:0.383581:0.500583:0.360436:0.500583:0.000000:0.000000
cm:@0.408094:0.524772:0.431239:0.524772:0.435832:0.509103:0.412687:0.509103:0.000000:0.000000
cm:@0.505630:0.524772:0.528775:0.524772:0.533369:0.509103:0.510224:0.509103:0.000000:0.000000
2:@0.205866:0.535747:0.214859:0.535747:0.214859:0.520078:0.205866:0.520078:0.000000
510:@0.264871:0.516302:0.297525:0.516302:0.297525:0.500632:0.264871:0.500632:0.000000:0.000000:0.000000
6,9:@0.332814:0.516302:0.353656:0.516302:0.353656:0.500632:0.332814:0.500632:0.000000:0.000000:0.000000
2:@0.318477:0.535747:0.327470:0.535747:0.327470:0.520078:0.318477:0.520078:0.000000
15:@0.388889:0.524821:0.406672:0.524821:0.406672:0.509152:0.388889:0.509152:0.000000:0.000000
 = 2 587,5:@0.433171:0.524821:0.501574:0.524821:0.501574:0.509152:0.433171:0.509152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.531018:0.517163:0.536230:0.517163:0.536230:0.508081:0.531018:0.508081:0.000000
=:@0.177439:0.525502:0.187556:0.525502:0.187556:0.509929:0.177439:0.509929:0.000000
⋅:@0.203772:0.516982:0.208379:0.516982:0.208379:0.501409:0.203772:0.501409:0.000000
⋅=:@0.231985:0.525502:0.260842:0.525502:0.260842:0.509929:0.231985:0.509929:0.000000:0.000000
⋅:@0.274755:0.516982:0.227802:0.516982:0.227802:0.501409:0.274755:0.501409:0.000000
⋅:@0.326316:0.516982:0.279362:0.516982:0.279362:0.501409:0.326316:0.501409:0.000000
⋅:@0.383902:0.525502:0.388509:0.525502:0.388509:0.509929:0.383902:0.509929:0.000000
Ejemplo 2:@0.095800:0.557475:0.165306:0.557475:0.165306:0.542362:0.095800:0.542362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el volumen del líquido depositado en el recipiente.:@0.095800:0.581513:0.530851:0.581513:0.530851:0.565843:0.095800:0.565843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De acuerdo con el gráfico, el radio de la esfera y de la base del cilindro es 30 :@0.095800:0.795039:0.670724:0.795039:0.670724:0.779369:0.095800:0.779369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.671719:0.795039:0.694017:0.795039:0.694017:0.778678:0.671719:0.778678:0.000000:0.000000
  :@0.694017:0.795039:0.698181:0.795039:0.698181:0.779369:0.694017:0.779369:0.000000:0.000000
y la altura del cilindro es 60 :@0.095800:0.811636:0.297415:0.811636:0.297415:0.795966:0.095800:0.795966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.297415:0.811636:0.319713:0.811636:0.319713:0.795274:0.297415:0.795274:0.000000:0.000000
.:@0.319713:0.811636:0.322919:0.811636:0.322919:0.795966:0.319713:0.795966:0.000000
V:@0.099986:0.832130:0.109366:0.832130:0.113959:0.816460:0.104580:0.816460:0.000000
V:@0.153813:0.832130:0.163193:0.832130:0.167786:0.816460:0.158407:0.816460:0.000000
V:@0.208507:0.832130:0.217886:0.832130:0.222480:0.816460:0.213100:0.816460:0.000000
V:@0.099986:0.863050:0.109366:0.863050:0.113959:0.847381:0.104580:0.847381:0.000000
cm:@0.195313:0.863050:0.218476:0.863050:0.223069:0.847381:0.199906:0.847381:0.000000:0.000000
cm:@0.258611:0.863050:0.281764:0.863050:0.286358:0.847381:0.263205:0.847381:0.000000:0.000000
cm:@0.353835:0.863050:0.376992:0.863050:0.381585:0.847381:0.358428:0.847381:0.000000:0.000000
cm:@0.214901:0.893104:0.238046:0.893104:0.242640:0.877434:0.219494:0.877434:0.000000:0.000000
cm:@0.329650:0.893104:0.352795:0.893104:0.357388:0.877434:0.334243:0.877434:0.000000:0.000000
cm:@0.213381:0.915702:0.236526:0.915702:0.241120:0.900033:0.217974:0.900033:0.000000:0.000000
(30:@0.169684:0.863050:0.193179:0.863050:0.193179:0.847381:0.169684:0.847381:0.000000:0.000000:0.000000
) (60:@0.221208:0.863050:0.256478:0.863050:0.256478:0.847381:0.221208:0.847381:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.284507:0.863050:0.289390:0.863050:0.289390:0.847381:0.284507:0.847381:0.000000
4:@0.303506:0.854531:0.312498:0.854531:0.312498:0.838861:0.303506:0.838861:0.000000
3:@0.303708:0.873976:0.312701:0.873976:0.312701:0.858307:0.303708:0.858307:0.000000
(30:@0.328217:0.863050:0.351699:0.863050:0.351699:0.847381:0.328217:0.847381:0.000000:0.000000:0.000000
):@0.379727:0.863050:0.384611:0.863050:0.384611:0.847381:0.379727:0.847381:0.000000
54 000:@0.145812:0.893109:0.197151:0.893109:0.197151:0.877439:0.145812:0.877439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
36 000:@0.260929:0.893109:0.311900:0.893109:0.311900:0.877439:0.260929:0.877439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18 000:@0.144651:0.915707:0.195622:0.915707:0.195622:0.900038:0.144651:0.900038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
líquido:@0.110423:0.834133:0.139771:0.834133:0.139771:0.825052:0.110423:0.825052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cilindro:@0.164718:0.834133:0.196042:0.834133:0.196042:0.825052:0.164718:0.825052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfera:@0.219420:0.834133:0.243951:0.834133:0.243951:0.825052:0.219420:0.825052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
líquido:@0.110423:0.865056:0.139771:0.865056:0.139771:0.855975:0.110423:0.855975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.226068:0.855389:0.231279:0.855389:0.231279:0.846308:0.226068:0.846308:0.000000
3:@0.384586:0.855389:0.389797:0.855389:0.389797:0.846308:0.384586:0.846308:0.000000
3:@0.240357:0.885447:0.245569:0.885447:0.245569:0.876365:0.240357:0.876365:0.000000
3:@0.355110:0.885447:0.360322:0.885447:0.360322:0.876365:0.355110:0.876365:0.000000
3:@0.238841:0.908039:0.244053:0.908039:0.244053:0.898958:0.238841:0.898958:0.000000
π:@0.156275:0.863728:0.166391:0.863728:0.170956:0.848155:0.160839:0.848155:0.000000
π:@0.314789:0.863728:0.324906:0.863728:0.329471:0.848155:0.319354:0.848155:0.000000
π:@0.196483:0.893781:0.206599:0.893781:0.211164:0.878208:0.201048:0.878208:0.000000
π:@0.311232:0.893781:0.321348:0.893781:0.325913:0.878208:0.315796:0.878208:0.000000
π:@0.194963:0.916378:0.205079:0.916378:0.209644:0.900805:0.199527:0.900805:0.000000
=:@0.144452:0.832807:0.154569:0.832807:0.154569:0.817234:0.144452:0.817234:0.000000
−:@0.199937:0.832807:0.210054:0.832807:0.210054:0.817234:0.199937:0.817234:0.000000
=:@0.144452:0.863732:0.154569:0.863732:0.154569:0.848159:0.144452:0.848159:0.000000
−:@0.290196:0.863732:0.300313:0.863732:0.300313:0.848159:0.290196:0.848159:0.000000
=:@0.134714:0.893786:0.144830:0.893786:0.144830:0.878213:0.134714:0.878213:0.000000
−:@0.249057:0.893786:0.259174:0.893786:0.259174:0.878213:0.249057:0.878213:0.000000
=:@0.134714:0.916385:0.144830:0.916385:0.144830:0.900812:0.134714:0.900812:0.000000
h:@0.271102:0.184768:0.281591:0.184768:0.281591:0.167719:0.271102:0.167719:0.000000
 = 12 :@0.281194:0.184768:0.323868:0.184768:0.323868:0.167719:0.281194:0.167719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.323868:0.184768:0.348097:0.184768:0.348097:0.167719:0.323868:0.167719:0.000000:0.000000
4,5 :@0.153129:0.306925:0.180439:0.306925:0.180439:0.289876:0.153129:0.289876:0.000000:0.000000:0.000000:0.000000
cm:@0.180439:0.306925:0.204668:0.306925:0.204668:0.289876:0.180439:0.289876:0.000000:0.000000
4,5 :@0.273083:0.308698:0.300392:0.308698:0.300392:0.291649:0.273083:0.291649:0.000000:0.000000:0.000000:0.000000
cm:@0.300392:0.308698:0.324621:0.308698:0.324621:0.291649:0.300392:0.291649:0.000000:0.000000
10 :@0.492645:0.305738:0.516785:0.305738:0.516785:0.288147:0.492645:0.288147:0.000000:0.000000:0.000000
cm:@0.516785:0.305738:0.540787:0.305738:0.540787:0.288133:0.516785:0.288133:0.000000:0.000000
h:@0.582690:0.244304:0.593102:0.244304:0.593102:0.226699:0.582690:0.226699:0.000000
 = 15 :@0.593102:0.244304:0.637130:0.244304:0.637130:0.226713:0.593102:0.226713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.637130:0.244304:0.661133:0.244304:0.661133:0.226699:0.637130:0.226699:0.000000:0.000000
ap :@0.476307:0.263722:0.498273:0.263722:0.498273:0.247584:0.476307:0.247584:0.000000:0.000000:0.000000
= 6,9 :@0.498273:0.263722:0.538543:0.263722:0.538543:0.247598:0.498273:0.247598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.538540:0.264027:0.562543:0.264027:0.562543:0.246422:0.538540:0.246422:0.000000:0.000000
2 :@0.156266:0.680583:0.168440:0.680583:0.168440:0.665434:0.156266:0.665434:0.000000:0.000000
R:@0.168440:0.680583:0.177223:0.680583:0.177223:0.665421:0.168440:0.665421:0.000000
R:@0.313130:0.671988:0.321913:0.671988:0.321913:0.656826:0.313130:0.656826:0.000000
R:@0.239929:0.760414:0.248712:0.760414:0.248712:0.745252:0.239929:0.745252:0.000000
 = 30 :@0.248712:0.760414:0.286630:0.760414:0.286630:0.745265:0.248712:0.745265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.286630:0.760414:0.307303:0.760414:0.307303:0.745252:0.286630:0.745252:0.000000:0.000000
 :@0.307303:0.760414:0.310863:0.760414:0.310863:0.745265:0.307303:0.745265:0.000000
Matemática :@0.770807:0.162950:0.859846:0.162950:0.859846:0.147586:0.770807:0.147586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Geometría:@0.769249:0.178038:0.857936:0.178038:0.857936:0.162673:0.769249:0.162673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los silos son grandes :@0.733047:0.326424:0.876697:0.326424:0.876697:0.312179:0.733047:0.312179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanques que sirven para :@0.733047:0.341512:0.897085:0.341512:0.897085:0.327267:0.733047:0.327267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
almacenar granos  :@0.733047:0.356599:0.859325:0.356599:0.859325:0.342354:0.733047:0.342354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y semillas.:@0.733047:0.371687:0.799368:0.371687:0.799368:0.357442:0.733047:0.357442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma cónica inferior :@0.733047:0.393904:0.893366:0.393904:0.893366:0.379658:0.733047:0.379658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resulta apropiada :@0.733047:0.408991:0.852339:0.408991:0.852339:0.394746:0.733047:0.394746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para descargar lo :@0.733047:0.424079:0.850932:0.424079:0.850932:0.409834:0.733047:0.409834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
almacenado del tanque.:@0.733047:0.439166:0.894137:0.439166:0.894137:0.424921:0.733047:0.424921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por su forma geométrica, :@0.733047:0.461383:0.896149:0.461383:0.896149:0.447138:0.733047:0.447138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es muy útil al momento :@0.733047:0.476471:0.895475:0.476471:0.895475:0.462225:0.733047:0.462225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de saber acerca del :@0.733047:0.491558:0.864954:0.491558:0.864954:0.477313:0.733047:0.477313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volumen de semillas  :@0.733047:0.506646:0.877151:0.506646:0.877151:0.492401:0.733047:0.492401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o granos almacenados.:@0.733047:0.521733:0.886632:0.521733:0.886632:0.507488:0.733047:0.507488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.745513:0.139696:0.898392:0.139696:0.898392:0.122796:0.745513:0.122796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entre el volumen del :@0.733602:0.627777:0.875225:0.627777:0.875225:0.613531:0.733602:0.613531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cono, la esfera y el :@0.733602:0.642864:0.858221:0.642864:0.858221:0.628619:0.733602:0.628619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cilindro, se pueden :@0.733602:0.657952:0.863868:0.657952:0.863868:0.643707:0.733602:0.643707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establecer relaciones :@0.733602:0.673040:0.876833:0.673040:0.876833:0.658794:0.733602:0.658794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre que sus :@0.733602:0.688127:0.845824:0.688127:0.845824:0.673882:0.733602:0.673882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medidas sean las :@0.733602:0.703215:0.850399:0.703215:0.850399:0.688970:0.733602:0.688970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indicadas en el gráfico.:@0.733602:0.718302:0.885159:0.718302:0.885159:0.704057:0.733602:0.704057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.763654:0.602751:0.885735:0.602751:0.885735:0.585851:0.763654:0.585851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2r:@0.752885:0.786988:0.760556:0.786988:0.760556:0.778750:0.752885:0.778750:0.000000:0.000000
2r:@0.851758:0.785965:0.859429:0.785965:0.859429:0.777727:0.851758:0.777727:0.000000:0.000000
2r:@0.802218:0.762350:0.809889:0.762350:0.809889:0.754112:0.802218:0.754112:0.000000:0.000000
2r:@0.885163:0.745737:0.892834:0.745737:0.892834:0.737499:0.885163:0.737499:0.000000:0.000000
2r:@0.741354:0.745737:0.749024:0.745737:0.749024:0.737499:0.741354:0.737499:0.000000:0.000000
Volumen cono =:@0.737774:0.807756:0.800748:0.809003:0.800748:0.800765:0.737774:0.799518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Volumen:@0.803149:0.799463:0.837403:0.799463:0.837403:0.791225:0.803149:0.791225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfera:@0.808948:0.805172:0.831604:0.805172:0.831604:0.796934:0.808948:0.796934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.840033:0.808784:0.845476:0.808784:0.845476:0.800546:0.840033:0.800546:0.000000
2:@0.817928:0.812290:0.822613:0.812290:0.822613:0.804052:0.817928:0.804052:0.000000
Volumen:@0.847461:0.799467:0.881715:0.799467:0.881715:0.791229:0.847461:0.791229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cilindro:@0.850264:0.805176:0.878911:0.805176:0.878911:0.796938:0.850264:0.796938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.862243:0.812290:0.866928:0.812290:0.866928:0.804052:0.862243:0.804052:0.000000
Solución:@0.395528:0.652989:0.456189:0.652989:0.456189:0.637877:0.395528:0.637877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos restar el volumen de la :@0.395528:0.677029:0.680053:0.677029:0.680053:0.661359:0.395528:0.661359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfera del volumen del cilindro.:@0.395528:0.693625:0.623751:0.693625:0.623751:0.677956:0.395528:0.677956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 566160880.:@0.922071:0.306071:0.922071:0.230792:0.910683:0.230792:0.910683:0.306071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000