Question

A metallic sphere is 42 cm in radius, is melted and recast into 216 small equal spheres. Find radius of small spheres.

Answer 1

Let the radius of small spheres b3 $r$.

Since, the volume will be same.

Therefore,

$\frac{4}{3}\pi \times {42}^3=216\times \frac{4}{3}\pi r^3$

${42}^3=216r^3$

$r^3=343$

$r=7cm$

Hence, this is the answer.