  In this work, we prove a shape theorem for Poisson cylinders and give a power
law bound on surface fluctuations. We prove that for any $a \in (1/2, 1)$,
conditioned on the origin being in the set of cylinders, every point in this
set, whose Euclidean norm is less than $R$, lies at an internal distance less
than $R+O(R^a)$ from the origin.
