If you can find manufactures name, model number, etc, they can perhaps identify the cyl. Test pressure on just about anything hyd, is much higher than operating pressure.
About the only way to test a cyl is to test the cylinder, but in doing so, may cause it to fail. I believe that the test could be ran by using only so much pressure, and increase the pressure until it gets to the pressure that you would desire, and hold that pressure for a set time. Note the pressure that it starts leaking if it is a slow leak. If the test destroys the seals, then it will have to be rebuilt, and it would be up to you to decide if it is worth it. I believe hyd testing is about $45 to $60 per hour.
If your pump is capable of 3000 psi, you could set the relief much lower and operate the cyl for a while, and if if it works good, and no leaks, bump up the pressure until it is operating within the range of most cyl of 2500 to 3000 psi. If it fails, it is probably not going to explode, just blow the seals for an external leak, or doing some seriously internal bypassing.