The radius of the base of a right circular cone and the radius of a sphere are each 5 cm in length.

Question

The radius of the base of a right circular cone and the radius of a sphere are each 5 cm in length. If the volume of the cone is equal to the volume of the sphere then the height of the cone is\

Professor PC Thomas Classes · Answer

(b) : Given that, $\frac{1}{3} \pi r^{2} h=\frac{4}{3} \pi r^{3}$\ $\Rightarrow h=4 r \Rightarrow h=4(5)$                     $ [\because r=5 \mathrm{~cm}] $
 h=20