Using matlab and using the Newton-Raphson method solve the following problem:

According to Archimedes Principle, the buoyancy force is equal to the weight of fluid displaced by the submerged portion of an object. Use the Newton-Raphson method to determine the height h of the above-water portion of a sphere with radius r = 1.5 m and bulk density = 400 kg/m^3. Continue to iterate until the relative error is less than le-06. Do this in MatLab. The density of water = 1000 kg/m^3. The volume v of the above water portion of the sphere can be computed with V = pi h^2/3 (3r - h)