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  1. 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
    1. 140
    2. 132
    3. 112
    4. 126
Correct Option: D

Volume of sphere =
4
π (10.5)³ cu.cm.
3

Volume of cone =
1
π (3.5)³ × 3 cu.cm.
3

∴ Number of cones =
4
π × (10.5)³ = 126
3
1
π × (3.5)² × 3
3



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