Multiple choice

(\text{Volume of two circles is in the ratio of 8 : 27. Find the ratio of their curved surface area ?})

  1. $\(4 : 9\)$
  2. $\(9 : 4\)$
  3. $\(4 : 5\)$
  4. $\(2 : 3\)$
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A Correct answer
Explanation

Volume ratio 8:27 means the cubes of radii are in this ratio (for spheres). Taking cube root, the radii are in ratio 2:3. Curved surface area of a sphere is 4πr², so the surface areas are in the ratio of squares of radii: 2²:3² = 4:9. Note: The question incorrectly says 'circles' instead of 'spheres' - circles are 2D shapes and don't have volume.

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