Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft w

Question

Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. how long does it take to fill?

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Explanation / Answer

(1) Water flows into a swimming pool at the rate = 8.0 gal/min                = 8.0 x 231 x (1/12)3 ft^3/min                =    1.0694 ft^3/min so, volume flow rate ,dV/dt = 1.0694 ft^3/min (since ,1 gallon = 231 cubic inches
   1 inch = 1/12 ft ) Volume of pool , V =16 ft x 32 ft x 8.0 ft   
                             = 4096 ft^3 time require to fill the pool , t = Volume / volume flow rate    = 4096 ft^3 /1.0694 ft^3/min    = 3830.18 min (up to 6 sig. fig)

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