Is this tank an ellipsoid?
If not, what shape is it?
The question is kinda of important and isn't a homework thing. I'm trying to determine the volume of the remaining fuel in a tank like this by the height of the fuel remaining. I need to find out for work.
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That is not an ellipsoid, that is a cylinder with semispherical ends.
It breaks down to the volume of a semi-filled cylinder of length L and radius R plus the volume of a semi-filled sphere of radius R.
Uh ... I went looking for the relevant formulae but ended up finding a calculator that does precisely what you want:
Be careful with your numbers:
- you're asked for the radius which is only half the diameter of the tank
- you're asked for the length of only the straight part
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