Radius of base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume. then what is the height of the cone?

4r

Volume of cone = \(\frac{1}{3}\) × π × r² × h

Volume of sphere = \(\frac{4}{3}\) × π × r³

Let the height = h

According to the question,

= \(\frac{1}{3}\) × π × r² × h = \(\frac{4}{3}\) × π × r³

h = 4r