A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone ?

Solution (By Examveda Team)

Let the height of the cone be h cm
Then,
$$\eqalign{ & \frac{4}{3}\pi \times {\left( 5 \right)^3} = \frac{1}{3}\pi \times {\left( 5 \right)^2} \times h \cr & \Rightarrow h = 20\,cm \cr} $$