432 gallons.
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All depends on how deep the water is, and whether the bottom slopes.
A 12' x 24' x 52' pool can hold up to about 112,028 gallons of water.
If its an oval pool approx 7800 gallons at full capacity. If its rectangular pool then approx 9000 Gallons.
Assuming that 24' is the diameter of the pool, then the volume of the pool is 3,387,491.39 cubic inches. There are 231 cubic inches in a gallon, so the pool holds 14,664.46 gallons of water.
13,594 US gallons of water.