Answer:
a) 0.568 kg
b) 474 kg/m³
Explanation:
Given:
Inner radius = 8.82 cm = 0.0882 m
Outer radius = 9.91 cm = 0.0991 m
Density of the liquid = 948.00 Kg/m³
a) The volume of the sphere = [tex]\frac{4\pi}{3}\times(0.0991^2-0.0882^2)[/tex]
or
volume of sphere = 0.0012 m³
also, volume of half sphere = [tex]\frac{\textup{Total volume}}{\textup{2}}[/tex]
or
volume of half sphere = [tex]\frac{\textup{0.0012}}{\textup{2}}[/tex]
or
Volume of half sphere =0.0006 m³
Now, from the Archimedes principle
Mass of the sphere = Weight of the volume of object submerged
or
Mass of the sphere = 0.0006× 948.00 = 0.568 kg
b) Now, density = [tex]\frac{\textup{Mass}}{\textup{Volume}}[/tex]
or
Density = [tex]\frac{\textup{0.568}}{\textup{0.0012}}[/tex]
or
Density = 474 kg/m³
