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  1. A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is :
    1. 4250
    2. 4000
    3. 8005
    4. 8000
Correct Option: D

Volume of larger ball =
4
π × (6)³ cu.cm.
3

Volume of a smaller ball =
4
π
3
³ cu.cm.
310

∴ Number of smaller balls =
4
π × 6 × 6 × 6
3
4
π ×
3
×
3
×
3
1031010

=
6 ×6 ×6 ×1000
= 8000
3 ×3 ×3



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