Question

A cylindrical container of base radius $6cm$ has water upto a height of $5cm$. Find the volume of cylinder. A metal sphere of radius $2cm$ is totally submerged in water. Find the rise in the water level.

Answer 1

We know that,

Volume of cylinder $=\pi r^{2}h$

$\begin{array}{c}=\pi \times {\left(6\right)}^2\times 5\\ =180\pi c{m}^3\\ =562.5c{m}^3\end{array}$

$\left(b\right)$ Volume of rise water in cylinder when body submerged $=$ Volume of body

$\pi r^{2}H=\frac{4}{3}\pi {\left(2\right)}^3$

$6^{2}H=\frac{4}{3}\times 8$

$H=\frac{32}{108}cm$

Hence,

rise in water level is $H=\frac{32}{108}cm$