образующая конуса равна 12см и состовляет с плоскостью основания угол 30°. найдите объем конуса, считая п=3

образующая конуса равна 12см и состовляет с плоскостью основания угол 30°. найдите объем конуса, считая п=3
- Предмет:
  Математика
- Автор:
  jettahess
- 5 лет назад

Ответы 1

V конуса = 1/3πR²hРассмотрим прямоугольный треугольник, в котором образующая - гипотенуза. Катет напротив угла в 30 градусов равен половине гипотенузы --> h=12/2=6.R по теореме Пифагора: √(12²-6²)=√(144-36)=√108=6√3V=1/3*3*(6√3)^2*6=648.ОТВЕТ: 648.
- Автор:
  noelglover
- 5 лет назад
- 0
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образующая конуса равна 12см и состовляет с плоскостью основания угол 30°. найдите объем конуса, считая п=3

Ответы 1

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