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16 * 32 * 4.5 = 2304 cubic feet.Since 1 cubic foot is 7.48051945 gallons, that would be approximately 17235.117 gallons.
15 320.1 gallons16*32*4=20482048*~7.4805=15320.1
The volume of the pool is (32' x 16' x 4') = 2,048 cubic feet = 15,320 gallons. (rounded) We have no way to know how much water may be in it. It may even be empty.
Cannot be answered with only these measurements. For a rectangular pool, the length, width and depth are needed. For a round pool, the diameter and depth are needed.