2. A cone has a volume 7,065 in.3 and a
height of 30 inches. What is the radius of the
cone?

The radius of cone is 14.996 inches.

Explanation:

The formula of volume of cone is V = 1/3×π×r²×h where r is the radius. In order to find the value of r, you have to substitue the following values into the equation :

V = 7065 in³

h = 30 in

1/3 × π × r² × 30 = 7065

π × r² × 10 = 7065

π × r² = 706.5

r² = 706.5/π

r = √(706.5/π)

= 14.996 inches(3d.p)