Hi Sterling,
In SpaceClaim, on the Design tab, use the Combine tool. Select the block as the Target then select the sphere as the cutter object. It will subtract the two and leave you with a solid of interference and the block will have a spherical cavity in it. You can delete the solid of interference if you don't want it.
You can create a surface from the cavity face by simply selecting the face and type Ctrl-C, Ctrl-V to copy/paste the face and create a surface.
Regards,
Peter
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