Question

water flows through a pipe at a rate of 8 liters per second. express this rate of flow in cubic feet per hour. round your answer to the nearest whole number. *note: you must use these exact conversion factors to get this question right. volume time 1 cup (cup) = 8 fluid ounces (fl oz) 1 minute (min) = 60 seconds (sec) 1 pint (pt) = 2 cups (cups) 1 hour (hr) = 60 minutes (min) 1 quart (qt) = 2 pints (pt) 1 day (day) = 24 hours (hr) 1 gallon (gal) = 4 quarts (qt) 1 week (week) = 7 days (days) 1 cubic foot (ft³) = 7.481 gallons (gal) 1 month (month) = 30 days (days) 1 liter (l) = 1000 milliliters (ml) 1 year (year) = 365 days (days) 1 cubic meter (m³) = 1000 liters (l) 1 gallon (gal) = 3.785 liters (l)

Explanation:

Step1: Convert liters to gallons

We know that 1 gallon = 3.785 liters. So for a flow - rate of 8 liters per second, the flow - rate in gallons per second is $8\div3.785=\frac{8}{3.785}$ gal/sec.

Step2: Convert seconds to hours

Since 1 hour = 3600 seconds (1 hour = 60 minutes and 1 minute = 60 seconds, so $60\times60 = 3600$), the flow - rate in gallons per hour is $\frac{8}{3.785}\times3600$ gal/hr.

Step3: Convert gallons to cubic feet

We know that 1 cubic foot = 7.481 gallons. So the flow - rate in cubic feet per hour is $\frac{8\times3600}{3.785\times7.481}$ ft³/hr.
Now, calculate $\frac{8\times3600}{3.785\times7.481}=\frac{28800}{28.330785}\approx1017$ ft³/hr.

Answer:

1017