Question

The lateral surface area of a cylinder is $94.2c{m}^2$ and its height is 5 cm. Find (i) the radius of its base and (ii) its volume .(Take $\pi$=3.14 .)

Answer 1

Here, h = 5 cm, 2πrh = $94.2c{m}^2$.

(i) 2πrh = 94.2

⇒ 2 x 3.14 x r x 5 = 94.2

⇒ r = 94. 2/ 2x 3.14x 5 = 3

Hence, base radius of the cylinder = 3 cm Ans.

(ii) Volume of the cylinder = $\pi r^2$h

= 3.14 x 3 x 3 x $5c{m}^3=141.3c{m}^3$Ans