Answer
a) $8.7\ g/cm^3$
b) Yes, Cadmium.
Work Step by Step
a) Volume of the metal: $36.7-28.2=8.5\ mL=8.5\ cm^3$
Mass of the metal: $74.122\ g$
Metal's density: $8.7\ g/cm^3$
b) Its density is closest to cadmium, but due to the proximity with other metals like cobalt and nickel, more tests might be required.