Question

The total surface area of a solid right circular cone is equal to that of a sphere of the same radius. The height of the cone is how many times the diameter of the sphere?

According to the question, r lr 4r2 r l 4r l 3r l2 H2 r2 9r2 H2 r2 8r2 H2 H 22r Now, Diameter 2r So, Height is 22r2r 2 times Required answer is 2

A √2

B ∛2

C 2√2

D √2/2

Detailed Solution