1. The problem statement, all variables and given/known data Calculate the volume bounded by the plane/cylinder x^2+y^2=1 and the planes x+z=1 and y-z=-1. 2. Relevant equations / The attempt at a solution It is pretty basic triple integral in cylindrical coordinates. For some reason, I can't get the right answer. I'm using bounds: 1-x ≤ z ≤ y + 1, -3π/4 ≤ θ ≤ π/4, 0 ≤ r ≤ 1. The shape is a cylindrical wedge of sorts but it is so twisted I'm not sure this is correct. Any ideas?