"...You can see capillary action 'in action' by placing a straw into a glass of water. The water 'climbs' up the straw. What is happening is that the water molecules are attracted to the straw molecules. When one water molecule moves closer to a the straw molecules the other water molecules (which are cohesively attracted to that water molecule) also move up into the straw. Capillary action is limited by gravity and the size of the straw/tube. The thinner the straw/tube the higher up capillary action will pull the water."
Would the volume of water in tubes with different bore widths be the same? The heights will clearly be different, but will the volume?