Final answer:
To determine the identity of the unknown substance, calculate its density using the mass and volume information. None of the given options match the calculated density.
Step-by-step explanation:
To determine the identity of the unknown substance discovered by Dr. Harley Davidson, we need to calculate the density of the substance. Density is defined as the mass of an object divided by its volume. In this case, we have the mass of the substance (35.6 grams) and the change in volume of water when the substance was added to the graduated cylinder (115.75 mL - 100 mL = 15.75 mL).
The density of the substance can be calculated as:
Density = Mass/Volume
Density = 35.6 grams / 15.75 mL = 2.259 g/mL
Using the calculated density, we can compare it to the known densities of different substances to determine the identity of the unknown substance. In this case, the density of the unknown substance (2.259 g/mL) does not match the known densities of any of the given options (Silicon, Carbon, Iron, Cadmium). Therefore, none of the given options are the correct identity of the unknown substance.