This is a great link, but be aware that the steel cylinders volume equation has a mistake.
Cylinder Volume
The equation should read as follows:
Vol = 0.000153 (dia-0.37)^2 * ((Length * Pi)-10.42) * (1+(0.068 * Working Pressure)
The last number in this equation has a typing error:
The value of 0.068 is just the inverse of 14.7, which is the number of psi per atmospheres. The equation has 0.68 which is just a typing error.
I will call PSI/PCI later and talk to Mark (PSI manager) and will point out the mistake so they can correct it.
The aluminum cylinder equation has it correctly.
I don't know about the accuracy of the rest of the coefficients (constants) in the equation. The form of the equations is correct, but the constants seem to include some fudge factor to take into account the shape of the ends of the pressure vessel. I ran a few numbers and the results are not too far off as compared to published data, but I was hoping they would be closer.
Be aware that this equation is intended for a conventional Scuba steel cylinder with convex bottom end. When used with the cylinder you have, the results will have somewhat larger error. It is still an approximation.
Again, the best way to get an accurate volume is to actually measure the water capacity, by either water volume or the weight of the water that the cylinder will hold. This is very easily done during hydro.