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    Question

    A right circular cylinder having total surface area of

    16940 cm2 is immersed in a vessel completely filled with water. If the height of the cylinder is 20% more than its radius, what is the amount of water displaced (in cm3)?
    A 291060 cm┬│ Correct Answer Incorrect Answer
    B 689920 cm┬│ Correct Answer Incorrect Answer
    C 37837.8 cm┬│ Correct Answer Incorrect Answer
    D 161700 cm┬│ Correct Answer Incorrect Answer

    Solution

    Let the radius and height of the cylinder be r and h cm respectively. тИ┤ h = 1.20r Total surface area of the cylinder = 16940 = 2╧Аr(h + r) тИ┤ 16940┬а= 2╧Аr(1.2r + r) = 2╧Аr(2.2r) = 4.4╧Аr2 тИ┤┬а 16940┬а= (8.8/2) ├Ч (22/7) ├Ч r2 =┬а 16940┬аx 7 x 2/22 x 8.8 тИ┤ r2 = 1225 тИ┤ r = 35 and h = 42 Amount of water displaced = Volume of the right circular cylinder = ╧Аr2h = (22/7) ├Ч (35)2 ├Ч (42) = 161700 cm┬│┬а

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