According to Archimedes' principal, the mass of a floating object equals the mass of the fluid displaced by the object. Use this principle to solve the following problems.
(a) A wooden cylinder 30.0 cm highs gloats vertically in a tube of water (density = 1.00 g/cm cube). The top of the cylinder is 14.1 cm above the surface of the liquid. What is the density of the wood?
(b) The same cylinder floats vertically in a liquid of unknown density. The top of the cylinder is 20.7 cm above the surface of the liquid. What is the density of the liquid?