If the pool is rectangular in shape then the formula is:
length X width x average depth x 7.5.
If the pool is circular then the formula is:
3.14 x 3.14 x pool radius (1/2 pool diameter) x average depth x 7.5.
If the pool has a shape other than these then it is a little more difficult.
For round pools you want the area of the circle x the height, or 3.14 x radius x radius x height, then convert feet to gallons by x 7.5.
A 24 foot by 4 feet deep pool holds 13,564 gallons.
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