This is not the sort of thing I would classify as ordinary recreational diving, the kind of diving I made clear was my reference point throughout this discussion. It is also the kind of thing I did frequently back when we used to do a lot of porthole and other artifact lifting from the cold waters of the Graveyard of the Atlantic. I also helped raise a couple of cannon in Jamaica back in the 70s.
The rough calculations can be done without reference to the metric system, but it is much easier to use metric measurement, especially if you know in advance exactly what you plan on doing. For example, it would be helpful to know the weight (in air) of the object to be lifted, something more easily done when lifting a known object like a dropped outboard motor than when lifting a found artifact. In Jamaica we used 72cf tanks brought down for the purpose of inflating multiple lift bags, and watched carefully as lift overcame the degree to which the cannon were embedded, then quickly dumped the excess gas when the artifact broke free, or added lift when a bag failed.
You also did not mention the volume of the scuba tank to which your Bar SPG is attached, though I'm sure that is only an oversight.
Were I to make the calculations you describe, there is no question I would use metric units. The liklihood of being faced with this problem unexpectedly while submerged on a dive is vanishingly remote.
"All theory is grey, but Oh! my friend, evergreen grows the golden tree of life"
(Goethe)