The area of the curved surface of a cone is $60 \pi\ cm^2$. If the slant height of the cone be $8\ cm$, find the radius of the base.

 Given:

The area of the curved surface of a cone is $60 \pi\ cm^2$.

The slant height of the cone is $8\ cm$.

To do:

We have to find the radius of the base.

Solution:

The curved surface area of the cone $= 6071\ cm^2$

Slant height of the cone $(l) = 8\ cm$

Therefore,

Radius of the base $(r)=\frac{\text { Area }}{\pi l}$

$=\frac{60 \pi}{\pi \times 8}$

$=7.5 \mathrm{~cm}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

36 Views

Kickstart Your Career

Get certified by completing the course

Get Started