To @diiity... In the attached document, some explanations on how to determine the "pilot" parameters of the surface model. The principle is an approach by successive trials, by iterations as the mathematicians would say ;o) , to make the final result coincide with the developed form given initially. The result cannot be perfect since the initial dimensions are approximate, and the elliptical shape of the base is the result of a hypothesis.
At @Sylk, Since the base of the cone is an ellipse and its axis is offset, the generators are not all the same length. They vary from 53.05 mm for the bottom edge to 58 mm for the edges of the upper side.