You take the length times the width times the depth and that will give you cubic feet. If your pool is round, you would multiply 3.14 (Pi) times the radius squared times the depth of the pool. Then multiply that by 7.48 to give you the approximate number of US gallons. The problem comes when you have irregular shapes and depths to deal with. The easiest way to work through that is to try and divide the pool into shapes and depths you can deal with. For example, if your pool is rectangular, but 3 feet deep at one end and 6 feet at the other, divide it into two rectangular (or square) shapes using the two different depths, work the formula and then add the two together. Good luck.
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You take Lenth x width x average depth and multiply it by 7.5. There are 7.5 gallons of water per cubic foot. or try out this website http://www.oceanmagic.net/calculating_pool_capacity.htm Round pools R x R x 3.14 x 7.5 (R=radius)
Here is the formula for calculating gallons of water to fill a swimming pool
Calculate Your Pool's Water Volume
Overview:
In order to figure out proper doses of chemicals for your pool, you need to determine how many gallons of water it holds. To do that, you need to know four different numbers: the length, width, average depth, and a multiplier that determines gallons. Here is the formula:
Length * Width * Average Depth * Multiplier = Gallons
Determine the Multiplier:
Rectangle, square, or free-form pool:multiplier = 7.5.
Round or Oval pool: multiplier = 5.9
Determine the Average Depth:
To determine the average depth in a pool where the bottom slopes, measure the shallow end, the deep end depth. Add them together and divide by two (2).
Example: Shallow End = 2'. Deep End = 10'
2' + 10' = 12'; 12'/2 = 6' Average Depth
L x W x height x 7.48 = gal
L x W will give you the surface square footage. Which may come in handy.
Gallons = (23.5) times (1/2 the diameter in ft) times (1/2 the diameter in ft, again) times (depth of the water in ft)