A glass is filled with water.The gauge pressure at the top of the glass is zero and the gauge pressure at the bottom is P.A second glass with three times the height and twice the diameter is also filled with water.What is the pressure at the bottom of the second glass?

Question

Quizplus · Accepted Answer

The pressure at the bottom of a column of fluid is given by $P = \rho gh$, where $\rho$ is the density of the fluid, $g$ is the acceleration due to gravity, and $h$ is the height of the fluid column. In this case, tripling the height of the water column in the second glass triples the pressure at the bottom, since the pressure is directly proportional to the height of the water column. The diameter of the glass does not affect the pressure at the bottom, only the height does.

A Glass Is Filled with Water