Archimedes' Principle?

Question

An object hanging in the air, caused a scale to balance at 0.0554 kg. When the object was submerged in water, the scale balanced at 0.0370 kg.

1-What is the volume of the object? (density of water = 1000 kg/m3)

2-What is the density of the object?

Answer 1

1. The bouyant force of the water on the object is the difference in the reading, i.e. BF=(.0554-.0370)g
=0.0184gN

Based on Archimedes' Principle, BF =Volume*Density of water displaced.

0.018g=Volume*1000g
Volume=.018/1000
=1.8*10^-5m3

2. Density of Object=Mass/Volume
=.0554/1.8*10^-5
=3078kg/m3