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 the ball will not distort when it is forced under the surface), which he forces under the surface of the water. LA s . The density of water is p,, = 1.000 x 10 kg/m', the density of styrofoam is pyam = 95.0 kg/m', and the acceleration due to gravity is g = 9.81 m/s\". If the child needs to supply 527 N to totally submerge the ball, calculate the diameter d of the ball. d= I:I m & TOOLS x10