1. The problem statement, all variables and given/known data Find limits of integration for volume of upside down cone with vertex on origin and base at z=1/sqrt(2). Angle at vertex is pi/2. Do this in cylindrical coordinates. 2. Relevant equations None. 3. The attempt at a solution My inner integral conflicts with the books solution. So in my triple integral, the outsides are right: 0<theta<2pi ; 0<r<1/sqrt(2) But my inner integral is r<z<1/sqrt(2) and the book says its r<z<1. Where does this 1 come from? I thought the max height was 1/sqrt(2)? Sorry if my formats messed up. Typing this on my phone.