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

Accepted Solution

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))