Archimedes’ Principle states that the buoyant force on an object partially or fully submerged in a fluid is equal to the weight of the fluid that the object displaces. Thus, for an object of density floating partly submerged in a fluid of density , the buoyant force is given by,
,
where 'g' is the acceleration due to gravity and is the area of a typical cross-section of the object (see the figure). The weight of the object is given by
Show that the percentage of the volume of the object above the surface of the liquid is
.
