Final answer:
The height water will rise in a glass capillary tube of a given radius is due to capillary action, a phenomenon affected by surface tension, contact angle, and density of water. Smaller radii generally lead to higher rises.
Step-by-step explanation:
The height to which water will rise in a glass capillary tube is linked to the surface tension of the water, the contact angle between the water and the glass, the density of the water, and Indeed the radius of the tube. This phenomenon is known as capillary action. The specifics of the calculation, however, remain in the domain of advanced physics and mathematical computation not typically covered until collegiate physics courses.
A generalization would be that the smaller the radius, the higher the water will rise.
Learn more about Capillary Action