Question

How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

Answer 1

Volume of solid sphere= $\frac{4}{3}\pi \times r^3$
$\to \frac{4}{3}\pi \times 8\times 8\times 8$
$\to volumeofball=\frac{4}{3}\pi \times r^3$
$\to =\frac{4}{3}\pi \times 1\ast 1\ast 1$
$\therefore numberofballs=\frac{\frac{4}{3}\pi \times 8\times 8\times 8}{\frac{4}{3}\pi \times 1\ast 1\ast 1}$
=8×8×8
=512