Electric Flux 8-23-2020

A circular ring has uniform linear charge density $\sigma = +1$ . The ring is parametrized as follows:

$x = (3/5) \cos \alpha \\ y = (3/5) \sin \alpha \\ 0 \leq \alpha \leq 2 \pi \\ z = \frac{1}{2}$

What is the electric flux through a sphere of radius $1$ with its center at the origin?

Details and Assumptions:
1) Use outward-facing normal vectors for the sphere
2) Electric permittivity $\epsilon_0 = 1$