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Two cones are similar in shape and the ratio of their volumes is 27 : 64. Find the ratio of their curved surface areas.

Competition practiceAreas & Volumes
  • A3:4
  • B9:16
  • C27:64
  • D16:9

Step-by-Step Solution

Volume ∝ , so the linear ratio = ∛27 : ∛64 = 3 : 4. Curved surface area ∝ , giving 9 : 16.
Answer: B) 9:16

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