Making a A3 surface flow along a cone and keeping the original dimensions

PaperCone.3dm (975.2 KB)

Have tried to create this surface with spiral and then ExtrudeCrvTapered with a specified angle 2. Unrolling the surface gives me 3. But what I want is a paperlike format (a3) 1 to wrap around a cone. The folding should be around drawn diagonals of the surface. Is this possible?