Question

A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of

the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

Answer 1

Volume of the prop = 706.5 in³

Explanation:

Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone

Volume of the hemisphere =
`(2)/(3)\pi r^(3)`

where 'r' = radius of the hemisphere

For r = 5 in,

Volume of the hemisphere =
`(2)/(3)(3.14)(5)^(3)`

= 261.67 in³

Volume of a cone =
`(1)/(3)\pi r^(2)h`

Here r = radius of the circular base

h = height of the cone

For 'r' = 5 in and h 17 in.

Volume of the cone =
`(1)/(3)(3.14)(5)^2(17)`

= 444.83 in³

Volume of the prop = 261.67 + 444.83

= 706.5 in³