In cylindrical coordinates
This is translated from my own language, so feel free to correct me if I'm using a wrong translation.
A profile curve in (x, z)-plan is given by the graph of the function z = ln (x), where
x [1, 2]. The profile curve is rotated the angle around z-axis counterclockwise as seen from the z-axis'
positive end. This yields the rotation surface F.
Find a parametrization for the profile curve and F.