I have had decent luck unfolding part of cones, but it doesn't always work for me....I'm sure it has something to do with the way that I generated the cone in the first place.
I am usually generating a template for fit-up to another cylinder or cone, so I am just interested in the "surface" flat pattern. (I can't verify the accuracy of a thicker material)
This is my process (probably not the best way, but it works for me): I start by making a solid model of the cone (usually extrude a circle at a set angle), I then subtract whatever bazaar geometry I need to remove for fit-up (usually I am intersecting a pipe at an angle), I then split the cone in half (we usually purchase them in halves anyway), I then shell the cone very thin (.0001" to reduce the k-factor error on the surface) and remove all the faces except for the face I am interested in, I then switch from modeling mode to sheetmetal mode, I then select the face I am interested in (turns cyan colored when selected) and hit the flat pattern button and it usually goes flat.
You can then make a 2D drawing of it. When placing the base view you must select "flat pattern" under the tab "sheet metal view" to get a flat (it defaults to folded model). You can place both a flat pattern and a folded view on the same sheet. I then normally output the geometry to autocad and ovelay the full size cone for the template (and verify the size).
If it doesn't work for you, post your e-mail address and I will send you an example. I'm using R7 SP1 ... I think there were some issues in SP0 that kept this from working but I can't remember for sure, and I can't remember if I did this same process back in 5.3 or not? Good luck