Final answer:
The density of the metal sample is 2.70 g/mL.
Step-by-step explanation:
The density of a metal sample can be calculated using the formula:
Density = Mass / Volume
In this case, the mass of the metal sample is 15.12 g and it increases the liquid level in the graduated cylinder from 35.00 mL to 40.60 mL. To find the volume, we subtract the initial volume from the final volume:
Volume = Final Volume - Initial Volume = 40.60 mL - 35.00 mL = 5.60 mL
Now we can calculate the density:
Density = 15.12 g / 5.60 mL = 2.70 g/mL. Therefore, the density of the metal sample is 2.70 g/mL. None of the answer choices provided match the calculated density, so none of them are correct.