Mathematics · Mensuration
The material of a solid sphere of radius r is melted and recast into a hollow cylindrical shell of thickness a and outer radius b. What is its length, assuming that no material is lost in recasting?
- 14r3 / [3a(2b - a)]✓
- 24r3 / [3a(b - a)]
- 34r3 / [3a(b + a)(b - a)]
- 44r3 / [3a(2a - b)]
Correct answer
4r3 / [3a(2b - a)]
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