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15 August, 18:38

CSA of a cylinder of height 35cm is 3300cm2. find its volume

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  1. 15 August, 18:49
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    We will use the following formula

    The curved surface area (CSA) of a cylinder formula

    csa = 2 * π * r * h

    The volume of cylinder formula

    v = π * r² * h

    Given:

    h = 35

    csa = 3,300

    Asked: v

    Solution:

    Find the radius of the cylinder using csa formula

    csa = 3,300

    2 * π * r * h = 3,300

    2 * 22/7 * r * 35 = 3,300

    44/7 * r * 35 = 3,300

    35r = 3,300 * 7/44

    35r = 525

    r = 525/35

    r = 15

    The radius is 15 cm

    Find the volume of the cylinder

    v = π * r² * h

    v = 22/7 * 15² * 35

    v = 22/7 * 225 * 35

    v = 24,750 cm³

    The volume of the cylinder is 24,750 cm³
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