The circumference of lower and upper bases of the frustum cone is $250\ cm$ and $120\ cm$. The slant height is $12\ cm$. Find the curved surface area.

Given: The circumference of lower and upper bases of the frustum cone is $250\ cm$ and $120\ cm$. The slant height is $12\ cm$.

To do: To find the curved surface area.

Solution:

As given, circumference of the lower end $=2\pi R=250\ cm$

Circumference of the upper end $=2\pi r=120\ cm$

Curved surface area of the frustum cone $=\frac{1}{2}( 2\pi R+2\pi r)l$

$=\frac{1}{2}(250+120)\times12$ 

$=370\times6$

$=2,220\ cm^2$
 
 

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Updated on: 10-Oct-2022

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