Using the formula for volume of a cone, express r in terms of V, h and pi

The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,

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

Dividing both sides of the equation by (1/3) (pi) (h) will give us,

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

Taking the square-root of both sides,

r = sqrt (3V / (pi) (h))