Предмет: Геометрия, автор: boichenko

осевое сечение цилиндра - квадрат, длина диагонали которого равна 36см.найдите объем и площадь боковой поверхности цилиндра

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Автор ответа: superkenguru

Сторона квадрата (х) равна диаметру основания цилиндра и высоте цилиндра. По теореме Пифагора 2х^2=36^2. Значит х=18*2^1/2. Площадь боковой поверхности равна п*d*H (где d - диаметр, H - высота), значит S=п*x^2= 648*п. V=п*R^2*H=2916*2^1/2*п

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