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Two spheres have volumes in the ratio 27 : 64. The ratio of their surface areas is:
Answer & Solution
Correct answer: A.
1. From volume ratio 27 : 64, the radii ratio is 3 : 4 (cube root).
2. Surface area ratio = (r₁/r₂)² = 9 : 16.
3. So the surface area ratio is 9 : 16.
4. Surface area scales with the square of the radius.
5. So the answer is 9 : 16.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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