Question

If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, find:

1. radius of its base
2. volume of the cylinder

[Use π =  3.14]

Answer 1

Given:

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 = `94.2/31.4`

 r  = 3 cm

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

=`3.14 xx 3xx3xx5`

Volume of the cylinder = 141 cm³