Question

A solid metallic cone of radius $2cm$ and height $8cm$ is melted into sphere. Find the radius of the sphere.

Answer 1

According to the question,

$\frac{1}{3}\pi r_c^{2}h=\frac{4}{3}\pi r_s^3$

Therefore,

$2^2\times 8=4r_s^3$

$8=r_s^3$

$r_s^3=2^3$

$r_s=2cm$

Hence, this is the answer.