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

 Given:

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

To do:

We have to find the volume of the cylinder so formed.

Solution:

Length of the sheet $= 44\ cm$

Breadth of the sheet $= 20\ cm$

By rolling along length, the height of the cylinder $(h) = 20\ cm$

Circumference of the base $= 44\ cm$

This implies,

Radius $=\frac{\text { Circumference }}{2 \pi}$

$=\frac{44 \times 7}{2 \times 22}$

$=7 \mathrm{~cm}$

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

$=\frac{22}{7} \times 7 \times 7 \times 20$

$=3080 \mathrm{~cm}^{3}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

58 Views

Kickstart Your Career

Get certified by completing the course

Get Started