How many gallons of water will it take to raise the water in my pool 1 inch the pool is 24ft in diameter?

282.6 gallons

144 * 3.14 = 452.16 SF

452.16 SF * 1' = 452.16 cubic feet of water / foot of depth

452.16 CF / 12 = 37.68 CF of water / inch of depth

37.68 CF * 7.5 gallons of water / CF

282.68 gallons / inch of depth