Question

Find the volume of the figure. Show your work

Answer 1

`1080\pi`

Explanation:

Volume of cone = ⅓ × pi radius² × height = ⅓ × pi r² × h

Height = 40, slant height = 41

We need to find the radius, so let's use Pythagoras Theorem to find ittt.

Using PT,

Radius² = 41² - 40² = 81

Radius = root 81 = 9

Now, let's replace.

Volume = ⅓ × pi × 9² × 40 = 1080 pi = 3392.92 = 3393