An Empty Spice Bottle Has an Inner Volume of 1 $\rho$

Multiple Choice

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 * 10-4 m3 of water when fully submerged. What volume of mercury ( $\rho$ Hg = 13.6 *103 kg/m3) must be added to the empty bottle so that it will just submerge?

A) 3.75 cm3
B) 12.0 cm3
C) 101 cm3
D) 147 cm3
E) 237 cm3