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A child playing in a swimming pool realizes that it is easy to push a small, inflated ball under the surface of the water, whereas

A child playing in a swimming pool realizes that it is easy to push a small, inflated ball under the surface of the water, whereas a large ball requires a lot of force. The child happens to have a Styrofoam ball (the shape of which will not distort when it is submerged) that he forces under the surface of the water. If the child needs to supply 635N to totally submerge the ball, calculate the diameter of the ball. The density of water is w=1.000g/cm3,, the density of Styrofoam is foam=0.0950g/cm3,, and the acceleration due to gravity is =9.81m/s2

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