Multiple choice

The volume of cylinder 1 and 2 is in the ratio of 5: 6and the radius of cylinder 1 and 2 is in the ratio of 5:8. Find the ratio between the heights of cylinder 1 tothat of cylinder 2?

  1. 25: 16

  2. 20: 13

  3. 32: 15

  4. 36: 19

  5. None of these
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C Correct answer
AI explanation

Using the cylinder volume formula, the ratio of volumes is pi times R1 squared times H1 divided by pi times R2 squared times H2. Given the volume ratio is 5:6 and the radius ratio is 5:8, we substitute the radii to get 5/6 equals 25 times H1 divided by 64 times H2. Simplifying this equation gives H1/H2 equals 320 divided by 150, making the ratio of their heights 32:15.

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