Answer:
[tex]2.81\times 10^{-5}\ m^3[/tex]
Explanation:
V = Volume of liquid = [tex]3.52\times 10^{-4}\ m^3[/tex]
[tex]\rho[/tex] = Density of liquid = 1000 kg/m³
[tex]\rho_c[/tex] = Density of aluminium = 2700 kg/m³
Mass is given by
[tex]m_l=\rho V\\\Rightarrow m_l=1000\times 3.52\times 10^{-4}\\\Rightarrow m_l=0.352\ kg[/tex]
Mass of liquid is 0.352 kg
Mass of can would be
[tex]m_c=0.428-0.352=0.076\ kg[/tex]
Volume is given by
[tex]V_c=\frac{m_c}{\rho_c}\\\Rightarrow V_C=\frac{0.076}{2700}\\\Rightarrow V_C=2.81\times 10^{-5}\ m^3[/tex]
The volume of aluminium is [tex]2.81\times 10^{-5}\ m^3[/tex]
