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Gage Ball in Cone

Good morning. My part has a cone (lets say it's a countersink). The print calls for a gage ball to be placed into the countersink, then the location of the top of the gage ball is to be measured. How would I replicate this in PC-DMIS? I've probed my cone, obviously. Now I'm stuck...I want to construct a sphere with a set diameter to mate with the countersink.