The density of the substance is 10.5 g/cm³.
The jewelry is made out of Silver.
Density ρ is defined as the ratio of mass m of the substance to its volume V. The cylinder contains a volume V₁ of water and when the jewelry is immersed in it, the total volume of water and the jewelry is found to be V₂.
The volume V of the jewelry is given by,
[tex] V=V_2 -V_1 [/tex]
Substitute 48.6 ml for V₁ and 61.2 ml for V₂.
[tex] V=V_2 -V_1\\ =61.2 ml -48.6 ml\\ =12.6 ml [/tex]
calculate the density ρ of the jewelry using the expression,
[tex] \rho =\frac{m}{V} [/tex]
Substitute 132.6 g for m and 12.6 ml for V.
[tex] \rho =\frac{m}{V}\\ =\frac{132.6 g}{12.6 ml} \\ =10.5 g/ml [/tex]
Since [tex] 1 ml=1 cm^3 [/tex],
The density of the jewelry is 10.5 g/cm³.
From standard tables, it can be seen that the substance used to make the jewelry is silver, which has a density 10.5 g/cm³.
