Ray,
A couple of weeks ago I ran into a similar problem.
I have suggestion, it's a hack but you can try it.
Define a plane
f(plane)=feat/plane,0,0,0,0,1,0
Measure two points along a line on the cylinder. Construct a line from the two points. Project the line onto the plane.
Measure two points along a line on the Cone. Construct a line from the two points. Project this cone line onto the plane.
Construct a point that is the intersection of the two lines. This will give you one point where the cone intersects the cylinder.
If you repeat this around your part you will construct a bunch of points that you can use to construct a best fit circle. That should give you the intersection point of the cone to the cylinder.
There are several ways you can do this procedure depending on the number of points you need. 4 points is the easiest as it requires only two planes. Another way is to create temp coordinate system and rotate around the axis of the cylinder as you measure and create lines and points.
In any case it is time consuming.
I hope this helps.
Bob Connors
Lawrence Berkeley National Lab