## Flux integrals

Compute the flux of the field $F(x,y,z)=(x,y,z)$ through the disc defined by $x^2+y^2\le25,$ $z=12$ and oriented according the superior norm $\vec k.$

I don't get when it says "oriented according the superior norm $\vec k.$"

By applying the divergence theorem I get $3\displaystyle\int_{0}^{2\pi }{\int_{0}^{5}{\int_{0}^{12}{dz}\,dr}\,d\theta },$ but if I try to use $\displaystyle\iint_{S}{F\cdot N\,dS},$ I don't get the same result.

How to solve this?