Sphere Center From Four Points

Geometry Level 5

The following four points lie on a sphere in the \(xyz\) coordinate system. Coordinates are approximated to three decimal places.


If the center of the sphere has coordinates \((h,k,m)\), determine \(h+k+m\).

Details and Assumptions:
Round \(h\), \(k\), and \(m\) individually to the nearest integer before adding them.


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