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The surface area of the largest sphere that can be carved out of a cube of edge 8 cm is:
Answer & Solution
Correct answer: C.
1. The largest sphere inside a cube has its diameter equal to the cube's edge.
2. So diameter = 8 cm, radius = 4 cm.
3. Surface area = 4 π r² = 4 π × 16 = 64 π cm².
4. So the surface area is 64 π cm².
5. 256 π would be 4 π × 64, which uses radius 8 not 4.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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