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The necessary size (or horsepower) of the pump can be determined by the following general rule-for above ground pools up to 24 ft round, use a 1 HP pump and for above ground pools over 24 ft round, use a 1.5 HP pump.
Standard Pool Above Ground Pool Sizes with a Pool Wall of 52 inches: 12 ft Round ~ 3,398 gallons 12' x 24' Oval ~ 6,797 gallons. 15 ft Round ~ 5,310 gallons 15' x 30' Oval ~ 10,620 gallons. 17 ft Round ~ 6,821 gallons 16' x 32' Oval ~ 12,084 gallons. 21 ft Round ~ 10,408 gallons 18' x 33' Oval ~ 14,019 gallons.