# 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 π = 3.14] - Mathematics

Sum

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]

#### Solution

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

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 4 | Page 21