Multiple choice

The curved surface area of two cylinders is in the ratio 10:9. If the heights of the cylinder are in the ratio 5:6, find the ratio of their volumes ?

  1. 37:21

  2. 21:37

  3. 40:27

  4. 27:40
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CSA ratio 10:9 gives 2πrh ratio. Height ratio 5:6. Therefore (r₁/r₂) × (h₁/h₂) = 10/9, so r₁/r₂ = (10/9) × (6/5) = 12/9 = 4/3. Volume ratio = (r₁/r₂)² × (h₁/h₂) = (16/9) × (5/6) = 80/54 = 40/27.

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