Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.

\(\Phi(r, \theta)=(r \cos \theta, r \sin \theta, \theta), \quad 0 \leq r \leq 1, \quad 0 \leq \theta \leq 2 \pi ; \quad f(x, y, z)=\sqrt{x^{2}+y^{2}}\)