# 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 $$cm^3$$

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