Question

How many balls of radius 3 cm can be made by melting a bigger ball of diameter 48 cm?

Answer 1

Radius of small ball - 3cm , vol  - $\frac{4}3}$ x $\pi$ x 3 = 4$\pi$
radius of bigger ball 24 cm , vol = $\frac{4}{3}$ x $\pi$ x 24 =32$\pi$

no. of small balls can be created = $\frac{vol of big ball}{vol of small ball}$
=> $\frac{32 \pi }{4 \pi }$
=> 8 balls