The object shown in the figure consists of a rectangular solid, a plate, and a quarter$-$circular wire, with densities as follows: solid: $0\mathrm{.}0005\frac{g}{m}{m}^3,$ plate: $0\mathrm{.}04\frac{g}{m}{m}^2,$ wire: $0\mathrm{.}1\frac{g}{m}m.$ Determine the coordinates of the center of mass. $($Round the final answers to four decimal places.$)$

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The $x$ coordinate of the center of gravity is $$ mm $,$ the $y$ coordinate of the center of gravity is $$ of the center of gravity is $$ mm $.$ mm $,$ and the $z$ coordinate