The electric field in a particular space is vec$(E)=((1000\mathrm{.}0-2000\mathrm{.}0z)\frac{N}{C})hat(k)$ with $z$ in meters. Consider a cylindrical Gaussian surface of radius $15\mathrm{.}0$ cm that is coaxial with the $z-$axis. One end of the cylinder is at $z=0,$ and the other end of the cylinder is at $z=2\mathrm{.}48m.$ What is the net charge contained by the cylinder?

$C$