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SSC MTS 2022 · PYQ · Mensuration · medium

If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius.

Answer

The correct answer is B: 9 : 5. Surface area of a sphere = 4πr². So R₁²/R₂² = 81/25, meaning R₁/R₂ = 9/5.

  1. A.5 : 8
  2. B.9 : 5✓ Correct
  3. C.5 : 7
  4. D.7 : 9

Explanation

Surface area of a sphere = 4πr². So R₁²/R₂² = 81/25, meaning R₁/R₂ = 9/5. The ratio of their radii is 9:5.
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