Question 848009
The volume that needs to be filled is
(19.7 ft)*(29.5 ft)*(10/12 ft)
Convert measurements to cm. We will be
using the fact that 1000 cm = 1 liter a bit later.
19.7 ft = 19.7*(30.48) = 600.456 cm
29.5 ft = 29.5*(30.48) = 899.16 cm
10/12 ft = (10/12)*(30.48) = 25.4 cm
So the volume to be filled is 
(600.456)*(899.16)*(25.4) = {{{1.3713612830784 * 10^7 cm^3}}} .
Since 1 liter = {{{10^3 cm^3}}}
we have {{{1.3713612830784 * 10^4 liters}}}
Since water flows at 10 gal/min, this is
10*(3.78541178) liters / minute
37.8541178 liters/minute
Dividing {{{1.3713612830784 * 10^4 liters}}} by 37.8541178 liters/minute
will tell us the number of minutes to top out the pool.
{{{(1.3713612830784 * 10^4 )/37.8541178}}} =  362.375 minutes or just
over 6 hours.

1.3713612830784 * 10^4 liters in gallons is
(1.3713612830784) * 10^4 *(0.264172) = 3622.75 gallons
At 10 gallons per minute it takes 3622.75/10 = 362.275 minutes or just over 
six hours.