Question

30 POINTS! PLEASE ANSWER! USE THE IMAGE BELOW!

Answer 1

9 in

Explanation:

⅓ × pi × r² × h = Volume

⅓ × pi × r² × 18 = 486pi

r² = 81

r = 9

Answer 2

9 inches

Explanation:

The volume of a cone is:
`V=(1)/(3) \pi r^2h` , where r is the radius and h is the height.

Here, we know that V =
`486\pi` and that h = 18, so plug these in to solve for r:

`486\pi =(1)/(3) \pi r^2*18`

Solving for r, we get:

486 = (1/3) * 18 * r^2

r^2 = 81

r = 9

Thus, the radius is 9 inches.

Hope this helps!