What relationship exists between weight of water in pounds and the height of its column in feet?

The relationship between the weight of water in pounds and the height of its column in feet is directly proportional. This means that as the height of the water column increases, the weight of the water also increases in a linear manner. This relationship arises from the fact that weight is essentially the product of volume and density.

In the context of water, the density remains constant at a given temperature, and the volume of water in a column is directly related to its height and the cross-sectional area of the column. Hence, when you increase the height while keeping the area constant, you are increasing the volume, and therefore, the weight of the water that is supported by that column also increases.

This principle is crucial in various applications, such as understanding hydrostatic pressure in tanks and pipes, where the pressure exerted by the liquid increases with the height of the liquid column above a given point, reflecting the weight of that liquid.