The radius of a cone is $5\ cm$ and vertical height is $12\ cm$. Find the area of the curved surface.

 Given:

The radius of a cone is $5\ cm$ and vertical height is $12\ cm$.

To do:

We have to find the area of the curved surface.

Solution:

Radius of the base of the cone $= 5\ cm$

Vertical height of the cone $(h) = 12\ cm$

This implies,

Slant height $(l)=\sqrt{r^{2}+h^{2}}$

$=\sqrt{(5)^{2}+(12)^{2}}$

$=\sqrt{25+144}$

$=\sqrt{169}$

$=13 \mathrm{~cm}$

Therefore,

The curved surface area of the cone $=\pi r l$

$=\frac{22}{7} \times 5 \times 13$

$=\frac{1430}{7}$

$=204.28 \mathrm{~cm}^{2}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

32 Views

Kickstart Your Career

Get certified by completing the course

Get Started