Volume: You have an 18'x38' pool 52" high--I'm guessing the water is 4' deep--4" from the edge to the water.
An oval is really a rectangle and a circle, but the circle's split in half and at each end of the rectangle. You KNOW it's an 18' diameter circle because that's the width of the pool.
Subtract 9' feet from each end (18' overall) and the you are left with a rectangle in the middle that 20' long (38-18) and 18 feet wide.
Area of a circle: Pi*r squared. R is 9' Pi is 3.1416. so... 81*3.1416 = 254 square feet.
Area of a rectangle L*W or 20*18=360 square feet.
Volume: (254 + 360) * 4 = 2456 cubic feet.
One cubic foot = 7.48 gallons so....2456*7.48 =18,371 gallons .
Figure this could be anything between 18,000 and 18,500 depending on EXACTLY how high the water is, and how precisely an 18*38 oval it is.
Using either 18000 or 18500 for your chlorine calculations isn't going to make any difference at all so use whichever you prefer.
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