Howdy Redbadge!
First off (..... just get the technicalities out of the way ....
....) that is a "shell" - i.e. just the projectile for an artillery piece, not a "cartridge" (which implies a self-contained round with projectile, propellant and primer all together in a casing, like a big metallic rifle or pistol cartridge.)
Having said that, it certainly has the appearance of a "studded shell" for one of the British RML field or mountain guns, which were rated as 16-pounder, 9-pounder or 7-pounder. The 16-pdr. had a 3.6" bore, and the 9-pdr and 7-pdr both had a 3" bore. (Of course muzzle-loading guns did not use a "cartridge" at all; rather, the propellant charge was loaded and rammed, followed by a projectile such as this ....)
What is the diameter of the shell itself, excluding the projecting studs, which engaged the rifling grooves? How far out do the studs project from the sides of the shell? Finally, what is the length?
Here, for what it may be worth, are diagrams taken from the 1887 edition of the British War Department's "Treatise on Ammunition", showing cross sections and some dimensions of the explosive and the shrapnel shell for the 16-pdr RML gun - which of course would look pretty similar, externally -