Let's say we need to fill a water tank using a 2-inch diameter, 50-feet long PVC pipe. We
want to know how long it will take to fill the tank if the pipe has a flow rate of 5 gallons per
minute.
First, we need to calculate the volume of water that the tank can hold. Let's assume that
the tank has a height of 10 feet, a length of 20 feet, and a width of 5 feet. The volume of
the tank is:
Volume = height x length x width = 10 x 20 x 5 = 1000 cubic feet
We know that 1 cubic foot of water is equal to 7.48 gallons. So, the tank can hold:
1000 cubic feet x 7.48 gallons per cubic foot = 7,480 gallons of water
Next, we need to calculate the flow rate of the PVC pipe in gallons per second:
Flow rate = 5 gallons per minute / 60 seconds per minute = 0.0833 gallons per second
Finally, we can calculate the time it takes to fill the tank using the flow rate of the PVC
pipe:
Time = Volume / Flow rate = 7,480 gallons / 0.0833 gallons per second = 89,765 seconds
Therefore, it would take approximately 89,765 seconds or about 24.93 hours to fill the
tank using the given PVC pipe.