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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 :
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- 4250
- 4000
- 8005
- 8000
- 4250
Correct Option: D
Volume of larger ball = | π × (6)³ cu.cm. | |
3 |
Volume of a smaller ball = | π | ³ | cu.cm. | ||||
3 | 10 |
∴ Number of smaller balls = | π × 6 × 6 × 6 | ||||||
3 | |||||||
π × | × | × | |||||
10 | 3 | 10 | 10 |
= | = 8000 | |
3 ×3 ×3 |