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