Final answer:
The density of the metal is found by dividing its mass by its volume, resulting in 2.70 g/mL. This method is a standard way to calculate density, also applicable to other substances like jewelry, to identify their compositions.
Step-by-step explanation:
To determine the density of the metal mentioned in the student's question, we use the formula density = mass / volume. Given that the mass of the metal is 4.86g and the volume is 1.80mL, the density can be calculated as:
Density = 4.86g / 1.80mL = 2.70 g/mL
From the provided options, the correct answer would be (a) 2.70 g/mL.
The same method can be applied to find the density of other specimens, like the jewelry in the second part of the question, by submerging the jewelry in a graduated cylinder and measuring the water displacement to find its volume, then using its mass to calculate the density.