A water polo ball is a hollow sphere of outer radius 12.5 cm and a mass of 750 g

Question

A water polo ball is a hollow sphere of outer radius 12.5 cm and a mass of 750 grams. The ball starts by floating on the surface of a swimming pool. (Assume that the density of the pool's water is 1.000 g/cm^3)

a. While floating, what fraction of the ball's volume is underwater? (Show work completely)

b. Suppose that a polo player starts pushing downward on a floating ball, gradually increasing his force. What is the magnitude of the athlete's downward force when the ball has exactly 25% of its vulume submerged below the surface? (Show work completely)

c. Suppose the total absolute air pressure inside the ball is 250 kPa. A diver then takes the ball and begins to swim downward with it in an infinitely deep swimming pool. (Assume surface pressure is 1.00 atm). At what depth will the absolute pressure on the ouside of the ball exceed 250 kPa, causing the ball to start to collapse? (Show work completely)

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