Reply by Lazyman

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Posted on Calculating the volume of Burial Urns

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3963 posts in 1896 days

#1 posted 08-15-2018 10:27 PM

One other thought. If you already know the volume of a given shape and you know the volume you want it to be, you should be able to compute the scale up/down factor. If for example you scale up the entire shape by a factor of 2, the volume will increase by the cube of the scale factor or 8. If you scale it down by 20% (factor of 0.8), you can compute the new volume with the factor of 0.8 cubed or 0.512. So if your known volume is 100 and you want it to be 120, you take the cube root of 1.2 or 1.06. Note that that this probably does not take into account the wall thickness of the vessel. It probably assumes that the thickness (and volume) of the wall increases proportionally but I think that the interior volume should scale correctly.

And if I am thinking about this right, you can also scale in only 2 dimensions (radius or diameter for example) and use the square and square root. If you scale in a single dimension (height for example), I think that you can simply multiply the volume by the factor directly.

-- Nathan, TX -- Hire the lazy man. He may not do as much work but that's because he will find a better way.

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