How many gallons of water are in a 24 foot round by 52 inch deep swimming pool?

Approximately 14645 gallons. Let's suppose that this pool is a perfect cylinder shape of 24 ft. diameter by 52 inches (or 4 1/3 feet) deep. The formula to find the volume of a cylinder is V=πr(square)h. We could use 3.14 to represent Pi (π), r(square) is 144 and the height of 52 inches, which is 4and1/3 feet. So then just multiply 3.14 (π) times 144 times 4 and a third. The answer is approximately 1958 cubic feet. Since there are 7.481 gallons of liquid per cubic foot, 7.481 times 1958 is approximately 14645 gallons.