The formula for the density, ρ, is (given a mass m and a volume V):
[tex]\rho=\frac{m}{V}[/tex]We know the volume in the graduated cylinder before and after the addition of the metal cylinder, so the difference is the volume of the metal cylinder:
[tex]\begin{gathered} V=25.5mL-15mL \\ V=10.5mL \end{gathered}[/tex]And the mass is given:
[tex]m=3.72g[/tex]So, the density is:
[tex]\rho=\frac{m}{V}=\frac{3.72g}{10.5mL}=0.35428\ldots g/mL\approx0.354g/mL[/tex]The density of the metal cylinder is approximately 0.354 g/mL.
