A sphere with radius r is centered at the origin, an infinite cylinder with radius r has it axis along the z-axis, and an infinite slab with thickness 2r lies between the planes z=âr and z=r. the uniform charge volume densities of these objects are Ïsph, Ïcyl, and Ïslab respectively. the objects are superposed on top of each other; the densities add where the objects overlap. how should the three densities be related so that the electric field is zero everywhere throughout the volume of the sphere?