A hollow spherical shape (internal radius Ri = 2.7cm; external radius Re = 3cm) that will be submerged in a larger container filled with water to a height of 20cm. Determine the magnitude and direction of the applied force necessary to maintain the top of the shape at a submerged distance of 10cm if it was made from polysulfide (p = 1.24 g/cm3). Please show all steps.