Question

The curved surface area of a cylinder is 1320 cm² and its base had diameter 21 cm. Find the height and the volume of the cylinder.

Answer 1

Given data is as follows:

Curved Surface Area = 1320 cm²

Diameter=21cm

We have to find the height and volume of the cylinder.

First of all, we have been given the diameter so let us find out the radius.

`r = 21/2`cm

We know that,

Curved Surface Area = `2pirh`

Therefore,

`2pirh`=1320

`2 xx 22/7 xx 21/2 xx h = 1320`

                                   h = 20 cm

Now that we know both r  and h , we can easily find out the volume.

Volume =  `pi r^2 h`

=`22/7 xx 21/2 xx 21/2 xx 20`

Volume = 6930 cm³