Question

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 πr2h)

Answer 1

Hello from MrBillDoesMath!

Answer:

r = 3

Discussion:

The volume of a cone is given the formula

V = (1/3) Pi r^2 h = 18 Pi => divide both sides by Pi

(1/3) r^2 h = 18 => multiply both sides by 3

r^2 h = 18 * 3 = 54 =>

r^2* 6 = 54 => divide both sides by 6

r^2 = 54/6 = 9 =>

r = 3

Thank you,

MrB