A) 2024
B) 4096
C) 5012
D) 6000
Correct Answer: B
Solution :
Radius of the sphere = 8 cm Volume of the sphere\[=\left( \frac{4}{3}\pi \times 8\times 8\times 8 \right)\,\,c{{m}^{3}}\] Radius of each lead ball \[=\frac{1}{2}\,\,cm\] Volume of each lead ball \[=\left( \frac{4}{3}\pi \times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} \right)=\frac{\pi }{6}\,\,c{{m}^{3}}\] Number of lead balls \[=\left( \frac{4}{3}\pi \times 8\times 8\times 8\times \frac{6}{\pi } \right)=4096\]
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