Question

A solid metal ball of diameter $16$ cm is melted and cast into smaller balls, each of radius $1$ cm. Find the number of balls.

Answer 1

Vol. of larger ball $=n\times$ vol. of smaller balls

$\Rightarrow \frac{4}{3}\pi 8^3=n\times \frac{4}{3}\pi 1^3\Rightarrow n=512$