Point of correction
Density of water is [tex]1000 Kg/m^{3}[/tex] not 100 as provided, it may be typo
Answer:
[tex]0.0066 m^{3}[/tex]
Explanation:
Buoyant force of water (Weight difference) is 96-30=66 N
Buoyancy force=[tex]\rho_w g v[/tex] where [tex]\rho_w[/tex] is the density of water, g is acceleration due to gravity whose value is provided as [tex]10 m/s^{2}[/tex] and v is the volume of the body
hence substituting 66 for buoyancy force, [tex]1000 Kg/m^{3}[/tex] for density of water and finding the unknown value of volume, v
66=1000*10*v
[tex]v=0.0066 m^{3}[/tex]