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?
To find the radius of the cone, we can use the formula for the volume of a cone:
V = (1/3)πr^2h
Given that the volume of the cone is 18π cubic feet and the height is 6 ft, we can plug in these values and solve for the radius:
18π = (1/3)πr^2(6)
18 = 2r^2
9 = r^2
r = 3
Therefore, the radius of the cone is 3 feet.