Answer :
Final answer:
The weight of the water in the 165 cubic yard swimming pool is approximately 277,970 pounds, calculated by first converting the volume to cubic feet and gallons, and then applying the weight of water at 8.34 pounds per gallon.
Explanation:
To calculate the weight of water in a swimming pool in pounds, we need to convert the volume from cubic yards to cubic feet and then to gallons because water's weight is most commonly measured in pounds per gallon. Given that 1 cubic yard equals 27 cubic feet, and 1 cubic foot of water equals 7.48052 gallons, we can use these conversions to find the total volume of the pool in gallons. Finally, since 1 gallon of water weighs approximately 8.34 pounds, we can use this conversion factor to find out the weight of the water in pounds.
First, convert the pool volume to cubic feet:
165 yd³ * 27 ft³/yd³ = 4455 ft³
Next, convert the volume to gallons:
4455 ft³ * 7.48052 gal/ft³ = 33339.2866 gal
Finally, calculate the weight in pounds:
33339.2866 gal * 8.34 lbs/gal = 277969.5676 lbs
The weight of the water in the swimming pool is approximately 277,970 pounds.
