標題:
f3數學(關於體積)
the figure shows a solid which is composed of a right circular cone and a hemisphere with the same base , the height of the solid is 30cm and the base aarea of the cone is 81pi cm^2 , the base radius of the cone is 9cm a) find the volume of the solid b)find the surface area of the solid.
最佳解答:
a) The height of the cone = 30 - 9 = 21cm the volume of the solid = cone + hemisphere = (1/3) (81π)(21) + (1/2) (4/3)π9^3 = 567π + 486π = 1053π cm^3 b) The surface area of the solid = π (9) L + (1/2) (4π9^2) = 9π √(9^2 + 21^2) + 162π = 9π 3√58 + 162π = (162 + 27√58 ) π = 27(6 +√58 ) π cm^3 = 1154.93 cm^3
其他解答:
f3數學(關於體積)
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發問:the figure shows a solid which is composed of a right circular cone and a hemisphere with the same base , the height of the solid is 30cm and the base aarea of the cone is 81pi cm^2 , the base radius of the cone is 9cm a) find the volume of the solid b)find the surface area of the solid.
最佳解答:
a) The height of the cone = 30 - 9 = 21cm the volume of the solid = cone + hemisphere = (1/3) (81π)(21) + (1/2) (4/3)π9^3 = 567π + 486π = 1053π cm^3 b) The surface area of the solid = π (9) L + (1/2) (4π9^2) = 9π √(9^2 + 21^2) + 162π = 9π 3√58 + 162π = (162 + 27√58 ) π = 27(6 +√58 ) π cm^3 = 1154.93 cm^3
其他解答:
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