# Fluid Pressure

1. Nov 26, 2004

### prasanna

Can somebody help me out in this problem?
There is a cylinder of diameter d,it is filled with water.
Upto what height should water be filled so that the pressure on the side
walls of the cylinder is equal to the pressure on the bottom?

2. Nov 26, 2004

### Tide

The pressure on the wall is not the same as the pressure on the bottom since it varies from top to bottom. Do you mean the total force acting on the wall due to the pressure?

3. Nov 26, 2004

### arildno

prasanna:
Since the hydrostatic pressure is a linear function of the vertical variable, the mean value of the pressure is the arithmetic mean of the top and bottom values.
This can be used to estimate the total force on the cylindrical wall.

4. Nov 26, 2004

### prasanna

To Tide
Yes I mean the force due to pressure (sorry)

5. Nov 28, 2004

### prasanna

So, When you solve I get the height is d/2.
Am I right??

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