Find the potential of a fluid with varying density

[-sandro-]

Homework Statement

Find the potential of a fluid whose density varies with height according to this relation: ρ = a (H-z²) + 1.5 kg/m³ being H=20m, 15m <= z <= 20m, M_total= 200kg. The fluid is inside a cylinder of radius = 2m and height = 5m.

Homework Equations

Bernoulli equation?

The Attempt at a Solution

I seriously have no idea how to solve it since the density varies, I'm not good with fluids problems :D

I've attached the image of the problem.

 

[Nathanael]

I'm sorry, I might not be able to help, but I'm just curious... What do you mean by "Find the potential"? Are you talking about Gravitational Potential Energy? Or some other potential energy? Or something else?

 

[SteamKing]

The Bernoulli equation will apply only to fluids which are flowing.