Question

If the lateral surface a cylinder is $94.2$ cm${}^2$ and its height is $5$ cm, then find
(i) radius of its base and
(ii) its volume

Answer 1

Given, $h=5$cm

$\Rightarrow$Let radius $=r$

(i) Curved Surface Area

$\Rightarrow$$94.2$cm${}^2=2\pi rh$

$\Rightarrow$$94.2$ cm${}^2=2\times 3.14\times r\times 5$cm

$\Rightarrow$$r=3$cm

(ii) Volume of cylinder

$\Rightarrow$$\pi r^{2}h=3.14\times 3\times 3\times 5$

$=141.2$cm${}^3$