I am not a physicist but am just wondering how much water is needed to be further crammed into the tank once it is full to raise the pressure to 3 bar. I would think it is very little indeed. I would think, as mentioned, temperature is critical as would be atmospheric pressure.
What about when you fill the tank with very cold water from the mains which chills the cylinder, copper presumably, to the same temperature. So, at the outset, you have a cold and full cylinder at 3 bar. Lets say it is at mains temperature of 5 degrees. Then as the temperature increases to room temperature or even what you call cold, lets say 15 degrees then both the water and the tank will expand at different rates. Is the coefficient of linear expansion of copper greater than that of water so that the volume of the tank once warmed up is greater than the volume of the water ?
What happens if, now the temperature is stable, you add just sufficient water to get back to 3 bar and then wait again and see what happens.
andytw