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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 = ╧Аr┬▓h = ╧А ├Ч 7┬▓ ├Ч 16 = 784╧А cm┬│. Let the height of water in the conical vessel be h. Volume of water = (1/3)╧Аr┬▓h, 784╧А = (1/3) ├Ч ╧А ├Ч 12┬▓ ├Ч h. Solving this, h = 16.33 cm. Correct answer: a) 16.33 cm

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