Answer: [tex]11\frac{g}{cm^{3}}[/tex]
Explanation:
Density [tex]D[/tex] is a physical characteristic property of matter that establishes a relationship between the mass [tex]m[/tex] of a body or substance and the volume [tex]V[/tex] it occupies. Mathematically is expressed as:
[tex]D=\frac{m}{V}[/tex] (1)
We already know the mass of the ring, which is [tex]m=16.5g[/tex] and the volume we can find it by the Archimedes' Principle, which states the following:
A body totally or partially immersed in a fluid at rest, experiences a vertical upward thrust equal to the mass weight of the body volume that is displaced.
In this case, we are told Francois places the ring into a graduated cylinder (in [tex]cm^{3}[/tex]), where the water level initially was in [tex]10.0cm^{3}[/tex] and then rose to [tex]11.5 cm^{3}[/tex].
So, if we calculate the difference we will find the volume displaced by the ring:
[tex]V=11.5 cm^{3}-10.0cm^{3}=1.5cm^{3}[/tex] (2)
Now we can find the density of the ring, with (1):
[tex]D=\frac{16.5g}{1.5cm^{3}}[/tex] (3)
Finally:
[tex]D=11\frac{g}{cm^{3}}[/tex]
