1. The problem statement, all variables and given/known data Translate the following equations from the given coordinate system into equations in each of the other two systems. Also, identify the surfaces so described by providing appropriate sketches. 2. Relevant equations 3. The attempt at a solution For my solutions, I obtained z=2r^2 for the cylindrical equation and for the spherical equation I got: (ρcosφ)^2 = 2(ρsinφcosθ)^2 + 2(ρsinφsinθ)^2. For my sketch I drew an infinite cylinder: I was wondering whether my conversions were correct, as when I transform the same equation from cartesian to spherical and from cylindrical to spherical I seem to obtain different equations.