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Derive the formula of the CSA …

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Derive the formula of the CSA and the TSA of the frustum of cone

    • Posted by Jinay Shah 6 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Isha Kumari 6 years, 2 months ago

    TAS=πl(r1+r2)+π(r2+r2)

    0Thank You

    Isha Kumari 6 years, 2 months ago

    π(r1+r2)

    0Thank You

    Yogita Ingle 6 years, 2 months ago

    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 = πl( 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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