While on the alien planet you come across what appears to be an infinite solid cylinder of radius r. it has a linear charge density of λ. the volume charge density inside the cylinder is rho(r) rpo/r, where po is a constant. a) the charge within a small volume dv is dq pdv. the integral of pdv over a cylinder of length l is the total charge q-al within the cylinder. using this, prove that rho,-32/2πr2. b) use gauss's law to find an equation for the e-field inside the cylinder. c) what is the value of e when r-r using part b. is it what you expect it to be?