Answer:
The fraction of the total volume of the bottle will be beneath the surface is 0.687
Explanation:
The immersed volume is equal to:
[tex]mg=V_{imm} *\rho _{water} *g\\V_{imm}=\frac{m}{\rho _{water}}[/tex]
Where
m = 112 g = 0.112 kg
ρwater = 1000 kg/m³
Replacing:
[tex]V_{imm} =\frac{0.112}{1000} =1.12x10^{-4} m^{3}[/tex]
The fraction of the total volume of the bottle will be beneath the surface is:
[tex]fraction=\frac{1.12x10^{-4} }{1.63x10^{-4} } =0.687[/tex]