Achild 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 581 n to totally submerge the ball, calculate the diameter of the ball. the density of water is rho w = 1.000 g / cm 3 , the density of styrofoam is rho foam = 0.0950 g / cm 3 , and the acceleration due to gravity is g = 9.81 m / s 2 .