I am going to assume that 24ft is the diameter of the pool, and that the 52 is meant to be the depth in inches.
A round pool is basically a cylinder. The volume for a cylinder is V = πr2h, where π is pi (3.14159), r2 is the radius squared, and h is the height (depth).
First, 52 inches needs to be converted into feet. There are 12in in 1ft. So multiply 52in x 1ft/12 inches to get 4.3ft.
The radius = 1/2diameter = 1/2(24ft) = 12ft
V = πr2h = (3.14159) x (12ft)2 x 4.3ft = 1945ft3
1 ft3 equals 7.48 gallons.
1945ft3 x 7.48gal/1ft3 = 14548 gallons
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How many gallons will fit into a 24 foot diameter x 4 foot high round swimming pool
A 24 feet round pool that is 54 inches high holds aproximatelly 15,000 gallons.
29,952 GALLONS
About 15,293 gallons.
14, 650 gallons