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    Question

    A cube of side 14 cm is immersed completely in a

    cylindrical vessel of radius 10 cm. What will be the rise in the water level in the vessel due to the immersion of the cube?( π = 3.14)
    A 8.74 cm Correct Answer Incorrect Answer
    B 6.65 cm Correct Answer Incorrect Answer
    C 7.25 cm Correct Answer Incorrect Answer
    D 4.94 cm Correct Answer Incorrect Answer

    Solution

    Volume of the cube = 14^3 = 2744 cubic cm. Let the rise in water level be h cm. Volume of water displaced = volume of the cube. Volume of water displaced = π * r² * h, where r = 10 cm. π * (10)^2 * h = 2744. 100π * h = 2744. h = 2744 / (100π) = 2744 / 314 ≈ 8.74 cm.

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