A hollow sphere of inner radius 8.69 cm and outer radius 9.99 cm floats half-submerged in a liquid of density 927.00 kg/m3. (a) What is the mass of the sphere? (b) Calculate the density of the material of which the sphere is made.

a) , b)

Explanation:

According to the Archimedes' Principle, the buoyancy force is equal the weight of the displaced fluid. Then, this equation of equilibrium is constructed by the Newton's Laws:

After some algebraic handling:

a) The mass of the sphere is:

b) The density of the sphere is:

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