A) 51 min 12 s
B) 52 min 1 s
C) 48 min 15 s
D) 55 min
Correct Answer: A
Solution :
| [a] Given, radius of pipe \[=\frac{5}{20}\,cm,\] height of pipe = 1000 cm radius of vessel = 20 cm and height = 24 cm Volume of water flow in one minute from cylindrical pipe \[=\pi {{\left( \frac{5}{20}2 \right)}^{2}}\times 1000=\frac{125}{2}\pi \,c{{m}^{^{3}}}\] and volume of conical vessel \[=\frac{1}{3}\pi {{(20)}^{2}}\times 24=3200\,\pi \,c{{m}^{3}}\] \[\therefore \]Required time \[=\frac{3200\pi \times 2}{125\,\pi }\] \[=51\frac{1}{5}\]\[\Rightarrow \]\[51\min 12\,s\] |
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