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    Question

    A cylinder has a height of 16 cm and a base radius of 7

    cm. The cylinder is completely filled with water, and then the water is poured into a conical vessel whose radius is 12 cm and height is 24 cm. Find the height of the water in the conical vessel.
    A 16.33 cm Correct Answer Incorrect Answer
    B 14.5 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D 18 cm Correct Answer Incorrect Answer

    Solution

    Volume of the cylinder = πr²h = π × 7² × 16 = 784π cm³. Let the height of water in the conical vessel be h. Volume of water = (1/3)πr²h, 784π = (1/3) × π × 12² × h. Solving this, h = 16.33 cm. Correct answer: a) 16.33 cm

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