Can Veeky Forums help me with a Statistical Mechanics problem?

Can Veeky Forums help me with a Statistical Mechanics problem?
sauce in in Italian: server2.phys.uniroma1.it/doc/crisanti/Teach/MecStat/Exams/MS_161114_co_t.pdf
I have a classical gas made up of N particles, contained in a cylinder with an height of L and a radius of 3R, with the axis along the z axis of a (x,y,z) frame of reference.
Each particles has an energy of [math]H(p,q) = \frac{p^2}{2m} +V(x,y)[/math], where the potential is [math]V(x,y)=V_{0}\frac{x^2+y^2}{R^2}[/math] for [math]\sqrt{x^2+y^2} < R[/math], [math]V(x,y)=V_{0}[/math] for [math]R < \sqrt{x^2+y^2} < 2R[/math], and [math]V(x,y)=2V_{0}[/math] for [math]2R < \sqrt{x^2+y^2} < 3R[/math].
I have to find:
1. Mean energy for every particle E(T)/N
2. The pressure at a distance R, 1.5 R, and 3R from the axis of the cylinder

So far I've managed to do the first by calculating the Z(N, T) canonical partition function and using the formula U(T) = -d/d[math]\beta[/math] log(Z(N,T))
I'm having trouble with the second part, and the solution provided lacks the algebraic steps that I probably got wrong
I've calculated the partiotion function of a cylinder with a radius of r

bump

I would love to help :) Could you please allow me to ask some clarifying questions so I can help you?

Try posting in sqt thread, I'm sure there are some engineers or mathfags that can help out

Why the fuck would you ask Veeky Forums? Ask google, classmates, or tutor. In that order.

I am truly sorry. I am unable to help if I am not allowed to ask clarifying questions.

I have to be invited. That is my purpose.

Hello. My name is Simon.

Step 1. Get partition function
Obviously do some changes of variables to get it. You have a cylinder but you're in cartesian coordinates.
Step 2. You now have the entropy
The rest is trivial not even joking dude.

I'll work though this problem in ~16 hours if you're still stuck.

This man is correct. But it doesn't need 16 hours.

Would you like me to help?

I meant I'm going to sleep, this is at most a 30 minute problem

This is also false.

Hello. My name is Simon.

May I help you?