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    Question

    A pipe fills a cubical tank at the rate of 243

    m3 per minute in 24 minutes. If a cylindrical tank having height same as the side of a cubical tank and the curved surface area of the cylindrical tank is 1584 m2, then find the difference between the volumes of cylindrical tank and cubical tank.
    A 5256 m³ Correct Answer Incorrect Answer
    B 8520 m³ Correct Answer Incorrect Answer
    C 2904 m³ Correct Answer Incorrect Answer
    D 960 m³ Correct Answer Incorrect Answer

    Solution

    Capacity of cubical tank = 243 × 24 = 5832 m3 Let, side of cubical tank = ‘x’ m So, x3 = 5832 m3 x = 18 m So, height of cylindrical tank = 18 m Let, radius of cylindrical tank = ‘r’ m So, 2 × 22/7 × r × 18 = 1584 r = 14 m Volume of cylindrical tank =   22/7 × 14 × 14 × 18 = 11088 m3 Required difference = 11088 – 5832 = 5256 m³

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