A) 176.6 hours
B) 120 hours
C) 135.5 hours
D) none of these
Correct Answer: A
Solution :
[a] Radius of the pipe (r) = 4 cm. = 0.04 meter Volume of water flowing out per sec \[=\pi {{r}^{2}}\times \,\,rate\,\,o\text{f}\,\text{f}low\] \[=\frac{22}{7}\times {{0.04}^{2}}\times 3\,cu\,\,meters=0.0151\,cubic\,\,m\] Time taken to fill the tank \[=40\times 30\times \frac{8}{0.0151}\sec \] \[=\frac{40\times 30\times 8}{0.01}\times \frac{1}{3600}\,hours=176.6\,hours\]
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