A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?

GMAT QUANT WORD PROBLEM 3-D Geometry Questions

A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?

(A) √3:1

(B) 1:1

(C) 1/2:1

(D) √2:1

(E) 2:1