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=1/3 pi r^2h)

1 answer

Since the volume of the cone is given as 18π cubic feet and the height is 6 ft, we can plug these values into the formula for the volume of a cone:

V = 1/3 * π * r^2 * h

18π = 1/3 * π * r^2 * 6

Multiplying both sides by 3:

54π = π * r^2 * 6

Dividing both sides by 6:

9 = r^2

Taking the square root of both sides:

r = 3

Therefore, the radius of the cone is 3 ft.