Question

Find the amount of water displaced by a solid spherical ball of diameter $4.2$ cm, when it is completely immersed in water.

Answer 1

Given diameter of sphere $d=4.2cm$

$r=\frac{d}{2}=2.1cm$

Volume = $\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14\times (2.1{)}^3=38.772c{m}^3$

Volume = $38.772c{m}^3$

By Archimedes principle,

Water displaced by the sphere = volume of the sphere

Hence water displaced by spherical ball is $38.772c{m}^3$