Question

Solve for the volume of the following figure.

Answer 1

`96\pi \: or \: 301.59`

rounded to the nearest hundredth

Explanation:

use the pythagorean theorem to find the height of the cone

`{a}^(2) + {6}^(2) = {10}^(2)`

you get a = 8

the formula for the volume of a cone is

`\pi \:{r}^(2) (h)/(3)`

plug in 6 for the radius and 8 for the height. then solve