Question

A rectangular sheet of paper, $44cm\times 20cm$, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

Answer 1

Given: The dimension of a rectangular sheet of paper is $44cm\times 20cm$.

$\because$ Sheet is rolled along its length to form a cylinder.

$\therefore$ By rolling along length, the height of cylinder
$\left(h\right)=20cm$ and circumference of the base $=44cm$.

Let, the radius of the cylinder be $r$ and height be $h$.
$\therefore$ Radius $\left(r\right)=\frac{44}{2\pi }=7cm$

Now, volume of the cylinder so formed $=\pi r^{2}h$
$=\frac{22}{7}\times (7{)}^2\times 20$
$=3080c{m}^3$

Hence, the volume of the cylinder is $3080c{m}^3$.