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

Solution:

CSA of cylinder = 94.2 cm2

Height of cylinder, h = 5cm

(i) Let radius of cylinder be r.

Using CSA of cylinder, we get

2πrh = 94.2

2×3.14×r×5 = 94.2

r = 3

radius is 3 cm

(ii) Volume of cylinder

Formula for volume of cylinder = πr2h

Now, πr2h = (3.14×(3)2×5) (using value of r from (i))

= 141.3

Volume is 141.3 cm3