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## Main Question or Discussion Point

Please help me with the following simple and dumb questions:

First, assumptions:

- Ignore atmospheric pressure.

- The liquid in the tanks is water with uniform density = 1g/cc.

- all tanks are sealed at the bottom and are vertically positioned.

- cross sections of the tanks are circular.

1. I have two tanks of same height (H) and same volume (V). One is cylindrical in shape and other is inverted conical. What is the pressure at the bottom of each tank?

2. I have one tank which has two parts:

Upper part is cylindrical with area = "A" and height = "H".

Lower part is an inverted cone with upper surface area = "A" (this is where it meets the cylindrical part) and the lower surface area = "a", and the height of the conical part = "h".

What is the pressure at the bottom surface of this tank?

3. I have a cylindrical tank of area "A" and height "H" with a hole in at the center of its circular bottom. The hole area is "a" and it leads to another small cylindrical tank directly below the upper tank. The height of the small lower tank = "h". What is the pressure at the bottom of the small lower tank.

4. Same question as #3 except that the hole (and the smaller tank that it leads to) at the bottom of the upper tank is not at the center, but to a side.

Thanks in advance for enlightening me!

sai_2008

First, assumptions:

- Ignore atmospheric pressure.

- The liquid in the tanks is water with uniform density = 1g/cc.

- all tanks are sealed at the bottom and are vertically positioned.

- cross sections of the tanks are circular.

1. I have two tanks of same height (H) and same volume (V). One is cylindrical in shape and other is inverted conical. What is the pressure at the bottom of each tank?

2. I have one tank which has two parts:

Upper part is cylindrical with area = "A" and height = "H".

Lower part is an inverted cone with upper surface area = "A" (this is where it meets the cylindrical part) and the lower surface area = "a", and the height of the conical part = "h".

What is the pressure at the bottom surface of this tank?

3. I have a cylindrical tank of area "A" and height "H" with a hole in at the center of its circular bottom. The hole area is "a" and it leads to another small cylindrical tank directly below the upper tank. The height of the small lower tank = "h". What is the pressure at the bottom of the small lower tank.

4. Same question as #3 except that the hole (and the smaller tank that it leads to) at the bottom of the upper tank is not at the center, but to a side.

Thanks in advance for enlightening me!

sai_2008

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