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    Question

    A cone and a sphere have equal radii and equal volumes.

    Find the ratio of the diameter of the sphere to the height of the cone?
    A 1:4 Correct Answer Incorrect Answer
    B 1:2 Correct Answer Incorrect Answer
    C 4:1 Correct Answer Incorrect Answer
    D 2:1 Correct Answer Incorrect Answer

    Solution

    ATQ-Volume of cone =volume of sphere (1/3) πr2h = (4/3) πr3h=4r     -put 2r=dh=2dh/d=2/1h: d=2:1Ratio of the diameter and height =1:2.

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