Yes, a CO2 cylinder similar to the pictured one would work; just make sure the hydro test stamp is up to date.
For the solenoid, you will want to get one that matches your AC voltage (if you plan to use an AC solenoid). DC solenoids might be better for our use, as they will generally run cooler.
Additionally, you will need a regulator and a needle valve, at the very least.
For a more detailed description and explanation, you can check out my Primer to Pressurized CO2 (linked in my signature below).