1. The problem statement, all variables and given/known data (see attachment) 2. Relevant equations 3. The attempt at a solution How the equation ##x^2+y^2-x=0## is that of a cylinder? That looks to me an equation of a circle. I haven't learnt about the different 3-D structures so I tried solving this using graphs. I tried to find the vertex of the paraboloid, it came out to be (0,0,1). Is this right? I am not sure how to proceed further from here. Any help is appreciated. Thanks!