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      Question

      The ratio of the radii of the bases of a cylinder and a

      cone is 4:5, while the ratio of their heights is 5:6. What is the ratio of the volume of the cylinder to the volume of the cone?
      A 5:6 Correct Answer Incorrect Answer
      B 8:5 Correct Answer Incorrect Answer
      C 2:9 Correct Answer Incorrect Answer
      D 8:7 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let r and R be the radii of the bases of the cylinder and the cone, respectively. r/R =4/5 Let h and H be the heights of the cylinder and the cone, respectively. h/H =5/6 The formula for volume ratio: Substituting values:

      Hence, the ratio of the volumes is 8:5.

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