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Derive the formula of the CSA and the TSA of the frustum of cone |
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Answer» TAS=πl(r1+r2)+π(r2+r2) π(r1+r2) Cut a right circular cone with a plane parallel to the base of the cone, then the solid shape between the plane and the base of the cone is called the frustum of a cone.e.g. Flower pots have a shape as the frustum of a cone.The surface area and the volume of the frustum of a cone can be calculated using standard formulae.CSA of the frustum of a cone =\xa0πl( r1 + r2).where r1 = radius of the larger circular face of the frustum, r2 = radius of the smaller circular face of the frustum, and l = slant height of the frustum.l = h2+(r1-r2)2 and h is the height of the frustum.TSA of a frustum of a cone = πl(r1 + r2) + πr12 + πr22 |
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