A Pressurized Cylindrical Tank, 5 $0.080 \mathrm {~m} ^ { 2 }$

Multiple Choice

A pressurized cylindrical tank, 5.0 m in diameter, contains water that emerges from the pipe at point C with a speed of 84 m/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 $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ The rate at which the water level is falling in the tank is closest to

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