SOLUTION: Water flows through a cylindrical pipe at a rate of 10 cm per second. The diameter of the pipe is 7cm. The water is poured into an empty rectangular tank of length 55 cm and width

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Question 833458: Water flows through a cylindrical pipe at a rate of 10 cm per second. The diameter of the pipe is 7cm. The water is poured into an empty rectangular tank of length 55 cm and width 20 cm. What is the depth of water after 1 minute?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Flow rate in VOLUME per minute through the pipe:
7 cm diameter means 3.5 cm radius. 10 cm worth of length flows per second; in volume this is 10%2Api%2A%283.5%29%5E2 cm%5E3. For one whole minute, this rate is highlight%2860%2A10%2Api%2A%283.5%29%5E2%29 cm%5E3%2Fmin.

For this same, one minute time interval, water through this pipe is added into a rectangular tank, to unknown height, h, but base 55%2A20%2Acm%5E2;

One minute flow rate, one minute flow into tank.
highlight%2860%2A10%2Api%2A3.5%5E2=h%2A55%2A20%29
Solve for h.