A cutting cup for a sphere making machine. The cutting cup includes a cylindrical ring having an outer wall, an inner wall, a bottom wall, and a top wall, the top wall having at least one beveled facet angled downwardly from the outer wall to the inner wall. A cutting element is attached to each of the beveled facets. Each of the cutting elements has a cutting edge adapted to at least partially contact a workpiece to be formed into a sphere. A mounting member is attached to the bottom wall of the cylindrical ring for attaching the cutting cup to the spindle of a sphere making machine.