Question

13. Calculate the volume of the composite figure. Leave in terms of pi.

Answer 1

Answer: 700π/3 OR 233.33π

Explanation:

Volume of Cylinder =
`\pi r^2h`

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

`V_(c)` = 5² x 6 x π

`V_(c)` = 25 x 6 x π

`V_(c)` = 150π

`V_(h)` = (2 x 5³ x π) / 3

`V_(h)` = (2 x 125 x π) / 3

`V_(h)` = 250π/3

`V_(T)` =
`V_(c)` +
`V_(h)`

`V_(T)` = 150π + 250π/3

`V_(T)` = 700π/3 OR 233.33π