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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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