14.4 Exercise 14

Referring to the figure, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes’ principle). You may assume that the buoyant force is $F_{2} - F_{1}$ and that the ends of the cylinder have equal areas$A$. Note that the volume of the cylinder (and that of the fluid it displaces) equals $\left(h_{2} - h_{1}\right) A$.