calculate volume corner bowfront tank

the loach

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Aug 6, 2018
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I just got a new tank, a corner bowfront. But can't find a volume calculator for this type, just normal bowfront, corner prism, corner pentagon, quarter cylinder.
In my estimation it would be around 36 gal, but I want to know exactly.
Does anyone know?

corners 27,5"
depth from corner to front 21,6"
height 18,9" (max water level)
 
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I'm having trouble visualizing you tank. Is it like a 1/4 slice of a circle? I've seen tanks like that, but also less curved. Sorry, I need a pic or more info.
 
No you got that just right, a 1/4 slice of a circle, but much less curved.
There is 6" "missing" from it being a circle if that makes sense.

Close to this
180238936_all-glass-54-gallon-corner-aquarium-with-stand.jpg
but still less curved.
Not a triangular tank, that would be 30 gallon, and there must be something like 3 to 5 gallons in the curve.
 
Have you considered estimating the volume as if it were a complete circle, and then dividing it by the portion of a circle that it is?
 
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^ As authmal has said, short of filling it with 5gal pails until it's full, I believe you'll have to calculate the volume as if it was a cylinder, then multiply that by 0.25. Even that won't be exact.
 
Except it's not a cylinder, I can calculate that and divide it by 4. (see first post)
If it were 1/4 of a circle it would hold 50 gal but it is clearly much too small for that.
A cylinder or circle will have the same distance from the center to any point (in this case 27,5") but it only has 21,5". It is much closer to a triangular tank as a cylinder.
 
If it's some weird shape that is somewhere between a portion of a cylinder and a triangle, you're not going to easily find a formula to calculate it. Buckets of filling it's going to be.
 
You are wrong, this would be a simple calculation for any math major, using just the 3 variables above.
After giving it some thought, it can even be simply calculated without knowing that formulae just doing 2 separate calculations on a tank volume calculator: http://theaquatools.com/volume-calculator/

1 corner prism 27,5" = 31 gallon
2 treating the curve as a 6" deep bowfront tank = 4 gallon

It's a 35 gallon tank.

Double checking it with a scientific parabolic arc area calculator
https://keisan.casio.com/exec/system/1223291032
it comes out as 35,6 so that is extremely close... probably an inside/outside difference.
 
If I remember correctly, and this was a standard aquarium (at some point) they were either marketed as 36 or 37 gallons.

Why is it so important to know the exact volume? I don't think I do anything in my aquarium that needs so much accuracy.
 
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