Question

If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, find:
(i) radius of its base
(ii) volume of the cylinder
[Use ` pi` =  3.14]

Answer 1

Given data is as follows:

Lateral Surface Area = 94.2 cm²

h = 5cm

We have to find:

(i) Radius of the base

(ii) Volume of the cylinder

(i) We know that,

Lateral Surface Area = `2 pi rh`

That is,

2πrh = 94.2

`2 xx3.14 xx r xx 5`=94.2

31.4r =94.2

 r = 3 cm

(ii) Volume of a cylinder =  `pi r^2h`

=`3.14 xx 3xx3xx5`

Volume of the cylinder = 141.cm³