Re-Simplified: Mixed up between Hydraulic & Atmospheric Pressure on Fluids?

There's 2 web links on the subject where as:


#1: One equation uses the density of the fluid (times gravity)


( http://hyperphysics.phy-astr.gsu.edu/hbase/pman.html#meac )


#2: and the other equation doesnt use the density


( http://hyperphysics.phy-astr.gsu.edu/hbase/pasc.html#hpress )


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So I do not understand why both equations are not the same to calculate
the travel distance of the fulid since both are related to the total
distance travel after opposite ends of a fluid have pressure applied on
them.... Can anyone clarify what's my mistake?


In the Web links: the Height ( h ) of part #1 should equal "d1 + d2"
of part#2 shouldn't it ?


#1 says P1 = density * h * g + P2 (or F1/A1 = density * h * g +
F2/A2)


but #2 says Work1 = Work2 thus F1*D1 = F2*D2 (no density of the
fluid is used to determine the heights D1 and D2 (D1 + D2 = h)???

.

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