Question

. A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder. Find the volume of the cylinder so formed.

Answer 1

`V=2078.16\ cm^3`

Explanation:

A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder.

h = 24 cm

and the circumference of the cylinder, C = 33 cm

`2\pi r=33\\\\r=(33)/(2\pi)\\\\r=5.25\ cm`

We need to find the volume of the cylinder so formed. The formula for the cylinder is given by :

`V=\pi r^2h\\\\=\pi * 5.25^2* 24\\\\=2078.16\ cm^3`

So, the volume of the cylinder so formed is
`2078.16\ cm^3`.