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      Question

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

      cone is 5:6, while the ratio of their heights is 3:4. What is the ratio of the volume of the cylinder to the volume of the cone?
      A 25:16 Correct Answer Incorrect Answer
      B 45:16 Correct Answer Incorrect Answer
      C 25:19 Correct Answer Incorrect Answer
      D 18:17 Correct Answer Incorrect Answer
      E None of these 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 =5/6 Let h and H be the heights of the cylinder and the cone, respectively. h/H =3/4 The formula for volume ratio: Substituting values:

      Hence, the ratio of the volumes is 25:16.

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