Question

(¡) calculate the volume of the solid

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Answer 1

`(550)/(3) \pi` cm³ = 576 cm³ (3 sf)

Explanation:

Height of hemisphere = 5 cm therefore, radius (r) = 5

Volume of a hemisphere =
`(2)/(3) \pi r^3` =
`(2)/(3) \pi * 5^3` =
`(250)/(3) \pi`

Volume of a cone =
`(1)/(3) \pi r^2h` =
`(1)/(3) \pi * 5^2 * 12` =
`100\pi`

Total volume of solid =
`(250)/(3) \pi +100\pi =(550)/(3) \pi =` 576 cm³ (3 sf)