The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is:

A

$$1 : 1$$

B

$$\sqrt[3]{4}:1$$

C

$$\sqrt[3]{3}:\sqrt[3]{2}$$

D

$$\sqrt[3]{4}:\sqrt[3]{3}$$