To determine the density and identity of the metal, we need to first calculate the volume of the metal object, and then use its mass and volume to calculate the density.
The volume of the metal object can be calculated by measuring the change in the volume of the water in the graduated cylinder before and after the object was placed in it. The difference between the final volume (106.2 mL) and the initial volume (100.0 mL) is equal to the volume of the metal object.
Volume of metal object = final volume - initial volume
Volume of metal object = 106.2 mL - 100.0 mL
Volume of metal object = 6.2 mL
Next, we can calculate the density of the metal using the formula:
Density = mass / volume
Substituting the values we have:
Density = 16.7 g / 6.2 mL
Density = 2.69 g/mL
The density of the metal is 2.69 g/mL.
To identify the metal, we can compare its density to the densities of known metals. A quick search shows that the density of aluminum (Al) is around 2.7 g/mL, which is close to the calculated density of the metal in question. Therefore, it is possible that the metal object is made of aluminum. However, we cannot be certain without further testing.