Finding the apex of a cone

Finding the apex of a cone

My print calls out the Position of the apex of a cone (a divot/concave shape) and I'm having a hard time getting a theoretical point on the apex. 

Measuring as a cone feature works fine except when I evaluate the position, it assumes it's from the base/largest part of the cone, with no apparent way to change that. 

Would creating several circles, then constructing a line that intersects the smallest of the circles be the closest I can get to an intersecting point?