# Math question....

Discussion in 'Homesteading Questions' started by Mutti, May 10, 2005.

1. ### MuttiWell-Known MemberSupporter

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How do you figure volume of water in a pool in gallons....24' round by 4' deep...?? Need to order new filter. Thanks DEE

2. ### MsSpotWell-Known Member

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I don't know how to figure that, BUT my pool is the same size and it holds approx. 12,000 gallons. At least, that's what it said on the box.

3. ### GRHEMountain Ogre

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One gallon = 231 cubic inches.

Volume would be: 12 x 12 x 4 x 3.14159 = about 1810 cubic feet or 3,125,000 cubic inches which would be about 13,500 gallons. Since you likely only are supposed to fill it to 3 1/2 feet deep, the 12,000 gallons is just about right on the mark.

4. ### CosmicWell-Known Member

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Color me confused.

I don't know what a 24' round is. Must be a fancy technical term. :no:

Basically you must compute the volume of a cylinder in cubic feet and then convert that to gallons.

The formula to compute a cylinder volume in cubic feet is:

V = 3.14 x (radius squared .... dimensions in feet) x height ..... dimensions in feet

There are 7.481 gallons per cubic foot @ 60 F.

Example:

Your pool is 24 feet in diameter (distance across the entire pool) and 4 feet high. The radius is half the diameter in this case 12 feet. Therefore:

V = 3.14 x 12 x 12 x 4
V = 1808 Cubic Feet

1808 Cubic Feet x 7.481 = 13,525 gallons

This more or less the way to compute the volume in your pool, minus splash and wave height, assuming no kids or dogs afloat.