Question

Curved surface area of a cone is $308$ cm${}^2$ and its slant height is $14$ cm Find the total surface area of the cone.

Answer 1

Given curved surface area of cone $=308sqcm$

Slant height $l=14cm$

Let $r$ is a radius of the base of cone

$\therefore \pi rl=308c{m}^2$

$\Rightarrow \frac{22}{7}\times r\times 14=308$

$\Rightarrow r=\frac{308\times 7}{22\times 14}=7cm$

Then total surface area of cone $=\pi r(l+r)=\frac{22}{7}\times 7(14+7)$

$=22\times 21=462c{m}^2$