Question: Use Archimedes' principle to develop a steady-state force balance for a spherical ball of ice floating in seawater (Fig. P1.25). The force balance should be

Use Archimedes' principle to develop a steady-state force balance for a spherical ball of ice floating in seawater (Fig. P1.25). The force balance should be expressed as a third-order polynomial (cubic) in terms of height of the cap above the water line (h), the seawater's density (pf), the ball's density (ps), and the ball's radius (r).

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