Question

If the circumference of the base of a solid right circular cone is $236cm$ and its slant height is $12cm$ , find its curved surface area.

Answer 1

Given,

Slant height of the cone $l=12cm$

Let, radius of the base be $r$

Circumference of the base of cone $=236cm$
$\Rightarrow 2\pi r=236$
$\Rightarrow \pi r=\mathrm{118.......}\left(1\right)$

Curved surface area of cone $=\pi rl$
$=118\times 12sq.cm$

$=1416sq.cm$

Hence, the required curved surface area is $1416sq.cm$ .