Originally Posted by

**razorfever** the question tells us that the buoyant force is equal to the weight of the fluid the object displaces

po = object density

pf = fluid density

g = acceleration due to gravity

A(y) = cross-sectional area of object

h = height of object underwater

L = total height of object

F = buoyant force

W = weight

and then

F = pf*g * integral from -h to 0 of A(y) dy

and

W = po*g * integral from -h to (L-h) of A(y) dy

show that the percentage of the volume of the object above the surface of the liquid is

100 * (pf - po) / pf