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    Question

    A cylindrical tank with a radius of 7 m is half-filled

    with water. If a cuboidal block of dimensions 2 m × 5.5 m × 7 m is submerged completely into the tank, find the rise in the water level of the tank.
    A 0.5 m Correct Answer Incorrect Answer
    B 1.8 m Correct Answer Incorrect Answer
    C 2.0 m Correct Answer Incorrect Answer
    D 2.2 m Correct Answer Incorrect Answer

    Solution

    Volume of the block = 2 × 5.5 × 7 = 77 m³ Rise in water level = Volume of block / Cross-sectional area of cylinder Cross-sectional area of cylinder = πr² = π × 7² = 154 m² Rise in water level = 77 / 154 = 0.5 m Correct option: a

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