A Pressurized Cylindrical Tank, 5 $84 \mathrm {~m} / \mathrm { s }$

A pressurized cylindrical tank, 5.0 m in diameter, contains water that emerges from the pipe at point C with a speed of $84 \mathrm {~m} / \mathrm { s }$ as shown in the figure. Point A is 10 m above point B and point C is 3.0 m above point B. The area of the pipe at point B is $0.080 \mathrm {~m} ^ { 2 }$ and the pipe narrows to an area of $0.070 \mathrm {~m} ^ { 2 }$ at point C. Assume that the water is an ideal fluid in laminar flow. The density of water is 1000 kg/m³. The rate at which the water level is falling in the tank is closest to

A) 300 mm/s.
B) 340 mm/s.
C) 250 mm/s.
D) 210 mm/s.
E) 160 mm/s.

Correct Answer:

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