Homework Help: Finding the Volume using a triple integral

1. The problem statement, all variables and given/known data
Find the volume of the solid bounded by the cylinder x^2+y^2=9 and the planes y+z=5 and z=1


2. Relevant equations
None


3. The attempt at a solution
My main problem is setting up the integral. So far what I have is 1 as the integrand, my order of integration is dydxdz and my bounds are 0<z<1 and sqrt(9-x^2)<y<5 and I can't figure out x. Is what I have right? What do I need to do? I am really struggling with setting up the bounds for triple integrals

 

I drew it in the xy plane and am looking at it in grapher, I understand the y bounds now, but x and z are still confusing, should x be -3<x<3? I have absolutely no idea how to go about solving for z...

 

Got it! Now I just need to evaluate which shouldn't be a problem, thanks so much!