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The curved surface area of a …

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The curved surface area of a cylinder is 154cmsquare . The total surface area of the cylinder three times it's curved surface area. Find the volume of the cylinder.

    • Posted by Arif Siddiqui 5 years, 10 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 10 months ago

    T.S.A = 3×154 = 462 cm²

    C.S.A = 154 cm²

    C.S.A = 2πrh

    T.S.A = 2πr(r+h)

    Now,

    In T.S.A = 2πrr + 2πrh

    462 = 2πrr + 2πrh

    462 = 2×22/7×r×r + 154

    462 – 154 = 2×22/7×r×r

    308×7/2×22 = r×r

    49 = r×r

    R = 7 cm

    Now,

    C.S.A = 2πrh

    154 = 2×22/7×7×h

    154/44 = h

     7/2 =h

    H = 3.5 cm or 7/2 cm

    Now volume = πrrh

    = 22/7× 7× 7×7/2

    = 11×49

    = 539 cm³

    0Thank You

    ANSWER
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