b$)$ What is Coordinate Measuring Machine$($CMM$).$ List the various CMM Machines.

c$)$ Three$-$point locations on the surface of a cylinder have been measured by a coordinate measuring machine. The cylinder is positioned so that its axis is perpendicular to the $x-y$ plane. The three coordinates in the $x-y$ axes are: $(5\mathrm{.}242,0\mathrm{.}124),(0\mathrm{.}325,4\mathrm{.}811),$ and $(-4\mathrm{.}073,-0\mathrm{.}544),$ where the units are inches. The coordinates have been corrected for probe radius. Determine $($a$)$ the coordinates of the cylinder axis and $($b$)$ the cylinder diameter, as they would be computed by the CMM software.