From: LM on
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-Calculator_program_43621.html

And, of course, there are the generic geometric pool-volume calculators
(which all suffer from geometry assumptions):
*
http://www.pentairpool.com/pool-owner/resources/calculators/pool-volume-calc/poolcalc.htm
* http://www.poolspa.com/calculator/
* http://www.poolwizard.net/pool-volume/
* http://www.backyardcitypools.com/swimming-pools/Pool-Volume-Calculate.htm
* http://www.poolandspachemicals.co.uk/volcalc.htm
* http://www.havuz.org/pool-calculators.htm
* http://www.poolfactoryonline.com/tutorials/pool-volume-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?
From: dpb on
LM wrote:
....

> What good is calculus if nobody uses it?

Well, I guess that characterization would ignore a fairly size of
population to "nobody"... :)

> 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?

Octave comes to mind as one toolset...

A relatively simple approach would be to use the data to estimate a
quadratic or cubic polynomial which could be integrated analytically.

--

From: harry on
On Jul 17, 5:27 pm, LM <xxxvte.lisa.meisner...(a)verizon.net> wrote:
> 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 calculatorhttp://www.filetransit.com/view.php?id=4749
> * Volume Calculatorhttp://www.freewarefiles.com/Volume-Calculator_program_43621.html
>
> And, of course, there are the generic geometric pool-volume calculators
> (which all suffer from geometry assumptions):
> *http://www.pentairpool.com/pool-owner/resources/calculators/pool-volu...
> *http://www.poolspa.com/calculator/
> *http://www.poolwizard.net/pool-volume/
> *http://www.backyardcitypools.com/swimming-pools/Pool-Volume-Calculate...
> *http://www.poolandspachemicals.co.uk/volcalc.htm
> *http://www.havuz.org/pool-calculators.htm
> *http://www.poolfactoryonline.com/tutorials/pool-volume-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?

Buy yourself a water meter. Fill the pool through the water meter.
Write the number down. Guaranteed to be exactly correct
From: Joe on
On Jul 17, 11:27 am, LM <xxxvte.lisa.meisner...(a)verizon.net> wrote:
> 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 calculatorhttp://www.filetransit.com/view.php?id=4749
> * Volume Calculatorhttp://www.freewarefiles.com/Volume-Calculator_program_43621.html
>
> And, of course, there are the generic geometric pool-volume calculators
> (which all suffer from geometry assumptions):
> *http://www.pentairpool.com/pool-owner/resources/calculators/pool-volu...
> *http://www.poolspa.com/calculator/
> *http://www.poolwizard.net/pool-volume/
> *http://www.backyardcitypools.com/swimming-pools/Pool-Volume-Calculate...
> *http://www.poolandspachemicals.co.uk/volcalc.htm
> *http://www.havuz.org/pool-calculators.htm
> *http://www.poolfactoryonline.com/tutorials/pool-volume-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?

Scientists for years have used graph paper for estimating. Here's how
it works: draw a side view of your structure on graph paper using
physical measurements that are convenient. Cut out the outline of the
view with scissors and weigh it. The scientist will use a sensitive
microbalance in most cases which you may not have access to. So the
variation here is to use a piece of scrap sheet metal or plywod,
particle board, or such, with a scribed-on grid, lay out the side
view, cut it out and weigh it on any convenient scale. Many retail
places have scales the public uses for produce, and such...talk to the
manager. Even a bathroom scale could work. Knowing the weight of a
measured piece of the pattern material, the area of the side view is
easily calculated. From there, measurement of the next two sides will
give a decently accurate volume.
For accurate distance measurements I highly recommend one the new
laser measuring tools like the Bosch DLR 165K.
Have fun...

Joe
From: Ari Silverstein on
On Sat, 17 Jul 2010 09:27:32 -0700, LM wrote:

> What good is calculus if nobody practically uses it.

Never heard of a calculus algorithm?

> My pool has an uneven bottom (shallow and deep and varying greatly).

Try calculating hyroflows of rising tides in a 2500 acre+ mangrove
swamp then. lol
--
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