Flux through cylinder problem: Finding the lateral area using vector calculus

[asi123]

Homework Statement

Hey guys.

I have this question:

http://img122.imageshack.us/img122/2936/84391716.jpg

I think that the flux through the top and bottom is zero and that because A does not have a component in the z axis direction.
So all that got left is the lateral area.
Well, I get 0 and I don't know why. I'm suppose to get 120, I obviously have a mistake and I don't know where.
Can I please have some help?

Thanks

Homework Equations

The Attempt at a Solution

 

[Dick]

The normal vector to your cylinder certainly isn't (1,0,0), is it?