How Many Gallons of Water Needed to Refill the Country Club Pool?

Question:

If the average depth of the 100 foot long, 50 foot wide country club pool is 7 feet and the water level is four inches too low, how many gallons of water must be added to return the water to the proper level?

Answer:

To restore the pool water level, 12466.67 gallons of water must be added to the 100 foot long, 50 foot wide pool with an average depth of 7 feet.

To calculate the amount of water needed to fill the pool to the proper level, we first need to find the volume of the pool. The formula for the volume of a rectangular prism is length x width x height. In this case, the length is 100 feet, the width is 50 feet, and the average depth is 7 feet. So the volume of the pool is 100 ft x 50 ft x 7 ft = 35,000 cubic feet.

To convert cubic feet to gallons, we can use the conversion factor 1 cubic foot = 7.481 gallons. Therefore, the pool can hold 35,000 ft^3 x 7.481 gallons/ft^3 = 261,335 gallons of water.

If the water level is four inches too low, we need to find the volume of water that would fill a four-inch layer across the entire pool. The formula for the volume of a rectangular prism is length x width x height. In this case, the length is 100 feet, the width is 50 feet, and the height is 4 inches (converted to feet by dividing by 12). So the volume of the water needed is 100 ft x 50 ft x (4/12) ft = 166.67 cubic feet.