Question

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

Answer 1

Radius of bigger laddoo (R) = 5 cm
$\therefore Volume=\frac{4}{3}\pi (5{)}^{3}c{m}^3=\frac{500}{3}\pi c{m}^3$
Radius of small laddoo $\left(r\right)=2.5cm$
$\therefore$ Volume of small laddoo $=\frac{4}{3}\pi (2.5{)}^{3}c{m}^3=\frac{62.5\pi }{3}c{m}^3=\frac{625\pi }{30}c{m}^3$
Number of laddoo can be made $=\frac{500\pi }{3}÷\frac{625\pi }{30}=\frac{500\pi }{3}\times \frac{30}{625\pi }=8$