A) 4000
B) 3584
C) 3592
D) 5200
Correct Answer: B
Solution :
Volume of the cylinder \[=\pi {{r}^{2}}h\] \[=\pi \times 6\times 6\times 56\] \[=(36\pi \times 56)\,c{{m}^{3}}\] Volume of 1 bullet \[=\frac{4}{2}\pi {{r}^{3}}\] \[=\frac{4}{2}\times \pi \times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}\] \[=\left( \frac{9}{16}\pi \right)\,c{{m}^{3}}\] \[\therefore \] Number of bullets \[\text{=}\frac{\text{Volume of the cylinder}}{\text{Volume of 1 bullet}}\] \[=\frac{36\pi \times 56\times 16}{9\,\pi }=3584\]
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