Cylinder Size

What is the Thrust it is supposed to transmit?

All the question you ask is depending on that, and is a pure mechanical-hydraulic design.

What do you mean by remove?

Your question is imcomplete, somewhat vague and confusing.

Ponder what you are asking for, and respond. We will attempt to assist you.

Perhaps you want to know how much weight can be lifted for a certain size cylinder and pressure? If so, multiply the diameter of the piston area times the PSI applied to the area.

In your example of 5000 PSI, then every square inch of the piston can move 5000 pounds, when applied to the piston side.When applied to the rod side, you must subtract the area of the rod from the piston area to obtain the capability of the return stroke.

The rod must be of sufficient size to support whatever your calculated load is, which is not specified in your question.

Hope this helps.