"How would you calculate the equivalent internal pressure?"
In a pressure vessel design you input the size, wall thickness, end shape, materials strength etc etc and if generates a MAWP.
You've stated volume, but not size or ends. So x m diameter by y m long with dished? hemispherical? toroidal? ends?
But like everyone is telling you, what you have is a Pressure Vessel, not a tank, although you may be using it as an atmospheric tank, that's not how it was designed and built.
Why do you want to know?
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.