The diameter of a cone is X cm the height is 18 cm mThe The height is 18 cm and the volume is 301.44 cm what is x

The volume of a cone is V = (1/3) (area of the base) (height) = (1/3) (pi*r^2) (h)

r^2 = (d/2) ^2 = (d^2) / 4. Given: V = 301.44cm^3 and h = 18cm.

r^2 = V/[ (1/3) (pi) (h) ]

r^2 = 3V / (pi) (h)

(d^2) / 4 = 3 (301.44) / (3.14) (18)

d^2 = 12 (301.44) / (3.14) (18)

d^2 = 63.967

d = 7.997

d~ = 8cm.