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Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is :
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- (r1 + r2 + r3)
- (r1² + r2² + r3²)¹/2
- (r1³ + r2³ - r3³)¹/3
- (r14 + r24 + r34)¹/4
- (r1 + r2 + r3)
Correct Option: C
In both cases, volume remains same.
If the radius of new sphere be R units, then
| πR³ = | πr1³ + | πr2³ + | πr3³ | |||||
| 3 | 3 | 3 | 3 |
⇒ R³ = r1³ + r2³ + r3³
∴ R = (r1³ + r2³ + r3³)¹/3 units
