Предмет: Геометрия, автор: alehsa

Равносторонний треугольник со
стороной 10 см вращается вокруг своей
высоты. Найдите объем и площадь полной
поверхности получившегося тела.

Ответы

Автор ответа: guvanch021272
2

Ответ:

Объяснение:

Получившееся тело-конус, радиус которого равен половине стороны треугольника, R=5, а образующая равна стороне L=10. Высота этого конуса будет медианой и биссектрисой, и будет равна H=√(10²-5²)=5√3

V=(1/3)·π·R²·H=(1/3)·π·5²·5√3=125π/√3

S=Sосно+Sbok =πR²+πRL=πR(R+L)=5π(5+10)=75π

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