While in a swimming pool, a young girl figures out that she can push a small ball under the surface of the water while a large ball is much more difficult. Consider a styrofoam ball (so the shape of the ball doesn't change when pushed under the surface) which is being pushed under the surface of the water. If the girl needs to supply 608 N608 N to totally submerge the ball, calculate the diameter of the ball. The density of water is ?w=1.000×103 kg/m3,ρw=1.000×103 kg/m3, the density of styrofoam is ?foam=95 kg/m3ρfoam=95 kg/m3 and the acceleration due to gravity is ?=9.81 m/s2.

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