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The surface areas of two spheres are in the ratio 9 : 16. Find the ratio of their volumes.

Competition practiceAreas & Volumes
  • A3:4
  • B9:16
  • C27:64
  • D81:256

Step-by-Step Solution

Surface area ∝ , so ₁ : ₂ = 3 : 4. Volume ∝ , so the volumes are in the ratio .
Answer: C) 27:64

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