A sphere of radius R has a (non-uniform) volume charge density of rho = A r 3 . a) What is the unit of A. b) Calculate the total charge of the sphere. c) What is the electric filed outside of the sphere? d) What is the electric field inside of the sphere? (20 points) 5) Find the potential energy of the sphere in problem (4)

Atank has a shape of a cone with a radius at the top of 2 m and a height of 5 m. the tank also has a 1 m spout at the top of the tank. the tank is filled with water up to a height of 2 m. find the work needed to pump all the water out the top of the spout. (use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.)