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Default Freeware volume calculator for irregularly shaped pool

What good is calculus if nobody practically uses it.
My pool has an uneven bottom (shallow and deep and varying greatly).

All pool-volume calculators I can find assume a gently sloping bottom (and
therefore use geometric simplifications). I want to try a calculus based
pool volume calculator (that takes the actual shape of the bottom curve
into consideration).

To obtain an accurate pool water volume, I just measured in two dozen
places every few feet the varying depth of an irregularly shaped pool.

I realize, with those numbers, I can draw a side view and then break it
into squares to calculate the volume but there must be a calculus volume
calculator out there that will take the shape of the bottom curves.

But since this is a common need of every pool owner of an irregularly
shaped pool, I wonder if there is a good freeware calculus (not geometry)
pool volume calculator out there that you recommend.

Googling, I found these two Windows freeware volume applications:
* AD Geometrical calculator http://www.filetransit.com/view.php?id=4749
* Volume Calculator
http://www.freewarefiles.com/Volume-...ram_43621.html

And, of course, there are the generic geometric pool-volume calculators
(which all suffer from geometry assumptions):
*
http://www.pentairpool.com/pool-owne...c/poolcalc.htm
* http://www.poolspa.com/calculator/
* http://www.poolwizard.net/pool-volume/
* http://www.backyardcitypools.com/swi...-Calculate.htm
* http://www.poolandspachemicals.co.uk/volcalc.htm
* http://www.havuz.org/pool-calculators.htm
* http://www.poolfactoryonline.com/tut...ume-calculator
* http://poolways.com/volume.html

What good is calculus if nobody uses it?
Do know of any volume calculators that will take the shape of the pool
bottom (measured in two-foot increments) into consideration accurately
without geometric simplification?
 
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