An Empty Spice Bottle Has an Inner Volume of 1

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 (ρ_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