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? (V = 1/3πr^2h)

Responses
A 2 ft2 ft
B 3 ft3 ft
C 4 ft4 ft
D 6 ft

1 answer

B 3 ft

To find the radius of the cone, we can rearrange the volume formula to solve for r:

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

Therefore, the radius of the cone is 3 ft.