$3$c$.$ A piece of metal is placed in the empty sample bottle from question $3$a$.$ The mass of the bottle $+$ metal is $43\mathrm{.}64g.$ With the metal left inside, the bottle is filled to capacity with water. The combined mass of the bottle, metal, and water is $61\mathrm{.}44g.$ Assuming that the density of water is $0\mathrm{.}9976\frac{g}{c}{m}^3,$

Calculate the mass of the metal.

Calculate the mass of water.

Calculate the volume of water.

Calculate the volume of the metal piece.

Calculate the density of the metal.