Let r and h be the radius and height of the cone, respectively. Suppose R is the radius of the sphere R = r (Given) Volume of the sphere = 2 × Volume of the cone ∴
4
3
πR3=2×
1
3
π×r2×h ⇒2r3=r2h ⇒
h
r
=2 Thus, the ratio of the height of the cone to radius of its base is 2:1.