Precision movement of a sphere

I am trying to move a sphere to an exact point on another model. I want to grab the center of the sphere and move it to an intersection. The picture below shows the situation. I want to use the sphere to intersect the two shapes to cut a dimple into the rectangular prism.

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What intersection? You kind of glossed over that. I will presume that you want the center of the sphere placed on the exposed corner of the square sitting on the rectangle.

Of course, if you have a guide point at the center of the sphere and you use X-Ray Face style, you can just snap point to point. However, you can always position an object with great precision along each axis in turn, using inferencing to align some appropriate surface feature in each direction. In this case, turn hidden geometry on so you have plenty of on-center points to choose from. For example:

-Gully

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