Вопрос школьника по предмету Математика
Cколько шариков диаметром 4 см получиться из кубика с ребром 5 см?
Ответ учителя по предмету Математика
Объем шара диаметром D = 4 см, то есть радиусом R = 2 см:
V(ш) = 4/3*pi*R^3 = 4/3*pi*2^3 = 4*8/3*pi ~ 32/3*3,14 = 33,51 куб.см
Объем куба с ребром a = 5 см:
V(к) = a^3 = 5^3 = 125 куб.см.
Из куба получится 125/33,51 = 3,73 = 3 шарика.
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