Aspherical iron ball bearing of diameter 4mm is placed on a light piece of styrofoam floating in a cylinder of oil as shown in the figure below. you may assume that the weight of the styrofoam is negligible. density of iron is 7.86g/cm^3; density of oil is 0.83g/cm^3
a) determine the maximum load that the styrofoam cup can carry before it sinks.
b) calculate the uptrust acting on the piece of styrofoam.
c) what is the volume of oil displaced by the piece of styrofoam and the iron ball bearing?
d) the ball bearing rolls off the piece of styrofoam and falls into the oil. will the oil level be higher, lower or the same as before? explain your answer.