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A frustum is made by removing a small cone from a similar large cone.

In the diagram shown, the height of the small cone is a quarter of the height of the large cone.

Work out the volume of the frustum. ​

A Frustum Is Made By Removing A Small Cone From A Similar Large Cone In The Diagram Shown The Height Of The Small Cone Is A Quarter Of The Height Of The Large C class=

Sagot :

we know the smaller cone's height is 1/4 of 12, namely 3

Check the picture below.

since we know the radius and height of both cones, let's get the area of the larger one and subtract from it the area of the smaller one, what's leftover is the Frustum's area.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{larger cone}}{\cfrac{\pi (6)^2(12)}{3}}~~ -~~\stackrel{\textit{small cone}}{\cfrac{\pi (\frac{3}{2})^2(3)}{3}}}\implies 144\pi -\cfrac{9\pi }{4}\implies \cfrac{567\pi }{4}~~\approx~~445.32[/tex]

View image jdoe0001
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