Neue Extremalprobleme über konvexe Rotationskörper

It is shown in this note that every sufficiently elongated conic frustum assumes, if radius of equatorr, lengthl and volumeV of a convex body of revolution are given, largest surfaceF as well as largest integral of mean curvatureM. The conic frustum is the only extremal body. For smalll, the situation is intricated and has not yet been clarified.