If the lateral surface of a cylinder is 94.2 \(cm^2\) and its height is 5 cm, then find radius of its base and its volume.

Solution :

Lateral or Curved Surface Area of Cylinder = \(2 \pi rh\)

\(\implies\) \(2 \pi rh\) = 94.2

\(\implies\) \(2 \pi r \times 5\) = 94.2 \(\implies\) r = 3 cm

Given, height = 5 cm

Volume of Cylinder = \(\pi r^2 h\)

= \(\pi \times 9 \times 5\) = \(3.14 \times 9 \times 5\) = 141.2 \(cm^3\)