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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 $(r)=\frac{\text { Area }}{\pi l}$
$=\frac{60 \pi}{\pi \times 8}$
$=7.5 \mathrm{~cm}$
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