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Finding the Volume of a Frustum

Finding the Volume of a Frustum

TGM Original

The figure above shows two solid cones \(VCB\) and \(VOA\).
\(BC=6\)cm, \(OA=9\)cm and the vertical height of the cone \(VOA\) is \(12\) cm.
A frustum \(OABC\) is obtained by removing the smaller cone \(VCB\) from the larger cone \(VOA\), find

  1. \(VC\),
  2. the volume of frustum \(OABC\).

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Answer:(a) \(VC=8\text{ cm}\) (b) \(716\text{ cm}^3\)

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