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Un cube a des aretes de 8 cm un cone de revolution a une base de 8 cm de diametre et une hauteur de 8 cm? calculer le volume du cube et calculer la valeur exacte du volume du cone quel est le volume du cone arrondi au cm3 on place le cone a l interieur du cube.occupe t il plus de 30% du volume du cone justifier votre reponse
Volume cube : 8x8x8 = 512 cm3
Volume cone : 1/3 x PI x R^2 x h = 1/3 x PI x 16 x 8 = 3,1416 x 128 / 3 = 134,04 cm3 soit 134 cm3
Rapport du volume cone/cube = 134/512 = 0,2617 = 26 % c'est à dire moins que le 1/3 qui vaut 0,333. Le cone occupe moins que le 1/3 du cube.
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