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## Homework Statement

It is found that a 3.70-kg aluminum ball has an apparent mass of 2.20 kg when submerged in a particular liquid.

Calculate the density of this liquid in kg/m3.

## Homework Equations

Bouyancy force=density*volume*gravity

Volume=mass/density

## The Attempt at a Solution

1. Look-up density of Al: density=2.7*10^3 kg/m^3

2. Volume of ball=(mall ball)/(density of ball)=0.00137m^3

3. Bouyancy force on ball=2.2*9.81=21.582N=weight of fluid displaced (Archimede's principle)

4. So the mass of 0.00137m^3 of the fluid can be solved by...

weight of fluid=(mass of fluid)g

mass of fluid=2.2kg

5. density of fluid=(mass fluid)/(volume of fluid)=1606 kg/m^3...

Did I use the apparent mass correctly in step 3?