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 527 N to totally submerge the ball, calculate the diameter of the ball. The density of water is ?w=1.000 g/cm3, the density of styrofoam is ?foam=0.0950 g/cm3, and the acceleration due to gravity is ?=9.81 m/s2.

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. If the child needs to supply 5.00×102 N5.00×102 N to totally submerge the ball, calculate the diameter ?d 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=95.0 kg/m3,ρfoam=95.0 kg/m3, and the acceleration due to gravity is ?=9.81 m/s2.

A 15.0-cm long cylindrical metal rod has a uniform diameter of 2.16 cm and weighs 148.40 g. Calculate the density metal?

Please help find T1.