# Roam around in the Space

Geometry Level 3

The surface area of a surface in three dimensional space represented by the equation $x^2+y^2+z^2-2 \alpha x-4\alpha y-6 \alpha z-8\alpha^2=0$ for some positive real $$\alpha,$$ is 88. If $$\alpha = \pi^a$$ then find $$16a$$.

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