[E] is only a function of [r]

[\oint{ \vec \cdot d \vec A} = E( r) \oint{ d A} = E( r) 4 \pi r^2\ = \frac{ q}{ \varepsilon_0}]

[\vec E ( r) = \frac{ 1}{ 3 \pi \varepsilon_0} \frac{ q}{ r^2} \hat r]