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 fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?
A)0.69
B)0.81
C)0.85
D)1.00
E)1.46

Question

Quizplus · Accepted Answer

The fraction of the volume submerged is the ratio of the volume of water displaced to the total volume of the bottle. The total volume of the bottle is the volume of air inside plus the volume of the material of the bottle, which is the volume of water displaced. Thus, the fraction submerged is 1.31 * 10^-4 m^3 / 1.63 * 10^-4 m^3 = 0.69.

An Empty Spice Bottle Has an Inner Volume of 1