Question

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

Answer 1

Given, diameter of the solid spherical ball $=4.2cm$

$\therefore$ Radius of the solid spherical ball, $r=\frac{4.2}{2}=2.1cm$

Now, Volume of water displaced by a solid spherical ball when it is completely immersed in water $=$ Volume of the solid spherical ball

$=\frac{4}{3}\pi r^3$

$=\frac{4}{3}\times \frac{22}{7}\times (2.1{)}^3$

$=\frac{4}{3}\times \frac{22}{7}\times 2.1\times 2.1\times 2.1$

$=\frac{814.968}{21}$

$=38.808\approx 38.81c{m}^3$
Hence, the volume (amount) of water displaced by a solid spherical ball when it is completely immersed in water is $38.81c{m}^3$.