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Derive the formula for the volume of the frustum of a cone

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Solution:

Let ABC be a cone. A frustum DECB is cut by a plane parallel to its base.
Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone.
In ΔABG and ΔADF, DF||BG
∴ ΔABG ∼ ΔADF

Volume of frustum of cone = Volume of cone ABC − Volume of cone ADE

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