An air-filled lead balloon of radius R is totally submerged in a tank of water. (a) Show that the thickness of the skin of the lead balloon is t=(Pw/Ppb)(R/3) where Pw and Ppbare the densities of water and leadrespectively. (b) Calculate the thickness if the balloon has a radius 0.1 meters and the density of lead is given by 11.3E3 kg/m^3.