Dome calculation?

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inkjunkie

Master of the Pit
Original poster
Nov 25, 2014
2,020
50
Have an unknown size tank that was given to me. Stored refrigerant of some sorts. Easy enough for me to figure out length and circumference/diameter but how does one calculate the volume of the domes?
 
Assuming it is relatively spherical, you can use a half sphere calculation, or a whole sphere if both ends are domes of the same size. If it's irregular, I have no idea. 

Also, be careful cutting up refrigerant tanks, I think they have to be disposed of by qualified professionals due to the the environmental impact of the coolants used in them. 
 
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Domes are fairly simple, you just need a few more measurements. If it is near spherical just use the round calculations and subtract one half. If it is really oblong then Google dome volume .....there are many calculators out there.

RG
 
Domes are fairly simple, you just need a few more measurements. If it is near spherical just use the round calculations and subtract one half. If it is really oblong then Google dome volume .....there are many calculators out there.

RG
Round calculations? Didn't get past Business Math in school....and pretty much don't remember what I learned yesterday so....
 
From what I understand, external links that are relevant to a specific problem are allowed.... Without that exception, this forum would be close to useless....
 
There is a simple way of calculating the dome volume. The dome shape is called an oblate spheroid (flattened ball!) and the volume can be calculated using the formula V =0.5×0.75×PI×R×R×H. Using diameter instead of radius and simplifying we get

V = 0.52 × D × D × H, where D is the tank Diameter and H is the dome height measured from the weld seam.

If we are not too worried by details and can accept a 4% calculation error we can simply use

V = D×D×H/2

Or, for both domes in one

V = D×D×H

More info on spheroids can be found at https://en.m.wikipedia.org/wiki/Oblate_spheroid

Cheers /Wes
 
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There is a simple way of calculating the dome volume. The dome shape is called an oblate spheroid (flattened ball!) and the volume can be calculated using the formula V =0.5×0.75×PI×R×R×H. Using diameter instead of radius and simplifying we get

V = 0.52 × D × D × H, where D is the tank Diameter and H is the dome height measured from the weld seam.

If we are not too worried by details and can accept a 4% calculation error we can simply use

V = D×D×H/2

Or, for both domes in one

V = D×D×H

More info on spheroids can be found at https://en.m.wikipedia.org/wiki/Oblate_spheroid

Cheers /Wes


You could also play with this: http://www.arachnoid.com/TankCalc/
Thanks
 
What did you find to work the best inkjunky? I just got 2 60g and 1 180gallon i need to do my calculations as well, save me cutting them off and welding in flat ends.
 

Easy way is to measure tank from end to end . Then measure from weld seam to weld seam . Subtract weld to weld from overall tank. Divide the difference by 1/2 and add the result back to the weld to weld length. This is the tank length you want to use.

If you look at the sketch, you want 1 end and the center added together. Use the diameter from the center of the tank.

I should add that I got my info from Dave on how to figure this for my tank.
 
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