Royce:
It's impossible to calculate the volume of your pool without more information. Here's what I would need:
You say it's 18'6"x41'6" (big pool!) but give no depth or shape.
If it is a rectangle and the water is 4' deep, then it would have a volume of 3,071 cubic feet, or 22,971 gallons. But I/Gs are rarely simple rectangles, and even more rarely single depths. That gets MUCH more complicated.
Supposing, (and a big supposing) your pool is a rectangle and half is 4' deep and half is 8' deep with no gradual ramp. Then your volume would be about 34,500 gallons. Pretty unlikely but your actual volume may be close to that, unless you have diving end, and then it would be more.
A pool is usually a collection of geometric solids, and you have to figure out what those solids are, their dimensions, then what their volume is and add it all up. Once you do that, you have the volume in cubic feet. Now you are nearly done and simply multiply by 7.48 to get your gallonage. Remember: Dimensions are of the water in your pool--not the pool. So it's the depth of the water, not the pool that matters.
Your builder may be able to give you the volume a lot faster!
But I'm throwing out a pure W.A.G. (Wild - @ .. -Guess) that your pool is between 33,000 and 40,000 gallons, give or take 1,000 gallons. Figure your amounts of chemicals on the basis of 33,000 gallons and, if you are a little low, you can add more -- it's harder to remove stuff than add more.
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