Q$3(15$pts$).$ A solid cylinder of length $2h$ is sitting along the $z$ axis. It has a radius of $a[m].$ Surface charge densities on the top and bottom faces of the cylinder are ${}_{s1}={}_{s2}={}_{0}r[\frac{C}{m^2}]$ as shown in Figure $2.$ The surface charge density on the side face is ${}_{s3}={}_{0}zsi{n}^2().$ Find the total charge $Q$ on all surfaces of the cylinder.

Figure $2.$ Surface charge densities on the walls of the cylinder.