Question

The circumference of the base of a cylindrical vessel is $132cm$ and its height is $25cm$ (use $\mathrm{\pi }=\frac{22}{7}$) . Find the $\left(i\right)$ Radius of the cylinder

$\left(ii\right)$ Volume of cylinder

Answer 1

Step-1 Radius of cylinder :

Let us consider

The radius of the cylinder $=r$

Height of the cylinder $=h=25cm$

Circumference of the cylinder $=132cm$

$\left(i\right)$ Circumference of the cylinder $=2\mathrm{\pi r}$

$$\begin{gathered} 132=2\times 3.14\times r \\ \Rightarrow r=\frac{132}{6.29} \\ =20.99cm \\ =21cm \end{gathered}$$

Step-2 Volume of cylinder:

$\left(ii\right)$ Volume of the cylinder $={\mathrm{\pi r}}^2\mathrm{h}$

Volume of the cylinder $=3.14\times 21\times 21\times 25$

Volume of the cylinder $=34618.5c{m}^2$

Hence, radius of the cylinder is $21cm$ and volume of the cylinder $34618.5c{m}^2$