# Not always a sphere!

The electric field strength depends only on the $$x$$ and $$y$$ coordinates according to the law $$\vec{E} = a(x\hat{i} + y\hat{j})/(x^2 + y^2)$$, where $$a$$ is a constant.

Find the flux of the vector $$\vec{E}$$ through the closed surface $$x^4 + y^4 + z^4 = 81$$.

If it can be expressed $$k\pi a$$ then give the value of $$\left \lfloor{100k} \right \rfloor$$.

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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