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    Question

    A cuboidal water tank with dimensions 32 metres × 22

    metres × 28 metres is filled to 40% of its total capacity . The water is then transferred to a cylindrical tank with a radius of 14 metres . Calculate the height to which the cylindrical tank will be filled. (Use π = 22/7)
    A 13.4 m Correct Answer Incorrect Answer
    B 12.8 m Correct Answer Incorrect Answer
    C 11.2 m Correct Answer Incorrect Answer
    D 11.8 m Correct Answer Incorrect Answer

    Solution

    Volume of cuboid = length X breadth X height Quantity of water in cuboidal tank = 0.4 X 32 X 22 X 28 = 7884.8 m3 Let the required height of cylindrical tank be 'h' metres. Volume of cylinder = π X radius2 X height So, (22/7) X 142 X h = 7884.8 Or, 616 X h = 7884.8 So, 'h' = 12.8 metres

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