The volume of a cone is 18π cubic feet. If the height of the cone is 6 ft, what is the radius of the cone?

A. 2
B. 3
C. 4
D. 6

1 answer

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.

Given that the volume of the cone is 18π cubic feet and the height is 6 ft, we can plug in these values to solve for the radius:

18π = (1/3)πr^2(6)
18 = 2r^2
r^2 = 9
r = 3

Therefore, the radius of the cone is 3 ft.

Answer: B. 3