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A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. The number of cones thus formed is
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- 140
- 132
- 112
- 126
- 140
Correct Option: D
Volume of sphere = | π (10.5)³ cu.cm. | |
3 |
Volume of cone = | π (3.5)³ × 3 cu.cm. | |
3 |
∴ Number of cones = | π × (10.5)³ | = 126 | |
3 | |||
π × (3.5)² × 3 | |||
3 |