A pycnometer is a glass flask with a tight fitting glass stopper that can be used to determine the density of an insoluble solid by measuring the volume of water ejected out of the pycnometer when sample of the solid is placed in it$.$ Determine the density in g$/$cm$^3$ of an unknown metal alloy sample from the following measurements. Assume the density of water is $1\mathrm{.}000$ g$/$cm$^3.$

Mass of clean pycnometer $=25\mathrm{.}151$ g

Mass of clean pycnometer plus water $=42\mathrm{.}481$ g

Mass of clean pycnometer plus metal sample $=39\mathrm{.}005$ g

Mass of clean pycnometer plus metal plus water $=54\mathrm{.}265$ g $($after ejected water is dried from the outside surface$)$