Since submarines had limited space, were there height and weight limits?

There was a height limit on these boats. During WW2, it was six feet, four inches or 1.93 meters. That meant two things. First, if you were six feet or taller, you probably weren’t able to stretch out on your bunk. You would sleep on your side curled up a bit. Second, it meant there were multiple obstructions available for you to locate with your head. In that case, some important medical advice applied: if it hurts when you do that, don’t do that. A tall crew member who has been on a submarine even for a short while may have appeared to pay no attention to those painful obstacles, but he had already located them all - and not all the hard way. Submariners tend to be reasonably bright.

Location memory helped. For example, in the dark in your home, you know where the furniture is and you avoid it. Unless, of course, someone has just added something or rearranged everything. At least the obstructions on a submarine didn’t get rearranged.

Weight was a different issue. There were weight limits, adjusted for height, to be met when joining the Navy. During WW2, there were no official weight limits for serving sailors after that. However, there might be informal pressure if you carried too many pounds. You might not want to struggle through the watertight doors if you were seriously overweight. There have also been reports that the stench on the boats tended to suppress appetites.

At some point after the war, the rules changed. You then had to under the weight limits each time you reenlisted.

Those were the maximums. The minimum height and weight limits for submarines were the same as those for everyone in the Navy when enlisting. There were no separate requirements for submarine service.