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Derive the formula for the volume of the...

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

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To derive the formula for the volume of the frustum of a cone, we will follow these steps: ### Step 1: Understand the Frustum of a Cone A frustum of a cone is formed when a smaller cone is removed from a larger cone. The frustum has two circular ends: one with radius \( R_1 \) (top) and the other with radius \( R_2 \) (bottom), and a height \( h \). ### Step 2: Identify the Volumes of the Cones The volume \( V \) of a cone is given by the formula: \[ ...
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