Thread: volume cylinder/cone ?

The volume of a cylinder is 300x(pi) cubic inches. If the height of a cone with the same base is 12 inches, what is the diameter of the cone? Can someone please explain or help how to get an answer for this?

Repost:

The volume of a cylinder is 300∏ cubic inches. If the height of a cone with the same base is 12 inches, what is the diameter of the cone? Can someone please explain or help how to get an answer for this?

let r be radius of the cone, h be its height

(pi)(r^2)(h) = 300pi
(r^2)(12) = 300
r^2 = 25
r = 5
hence its diameter is 10 inches