Question

A shopkeeper has one spherical laddoo of radius $5$ cm. With the same amount of material, how many laddoos of radius $2.5$ cm can be made?

Answer 1

Volume of $1$ larger laddoo $=$ Volume of $m$ nos. of smaller laddoos
Therefore, $\frac{4}{3}\pi R^3=m\times \frac{4}{3}\pi r^3$

$\Rightarrow \frac{4}{3}\pi \times 5^3=m\times \frac{4}{3}\pi \times {2.5}^3$
$\Rightarrow 125=m\times {\left(\frac{25}{10}\right)}^3$

$\Rightarrow m=8$