Question

The radius and height of a right circular solid cone are $7cm$ and $24cm$ respectively. Find its curved surface area (in $c{m}^2$)

Answer 1

We have,

$r=7cm$

$h=24cm$

We know that the slant height of the cone

$l=\sqrt{r^2+h^2}$

So,

$l=\sqrt{7^2+{24}^2}$

$l=\sqrt{49+576}$

$l=\sqrt{625}=25cm$

We know that the curved surface area of the cone

$=\pi rl$

So,

$=\pi \times 7\times 25$

$=550c{m}^2$

Hence, this is the answer