# Squiggly Spherical Surface

Geometry Level 4

$${ x }^{ 2 }+{ y }^{ 2 }+{ z }^{ 2 } \le 225\\{ (x-20) }^{ 2 }+{ (y-15) }^{ 2 }+{ z }^{ 2 }\le 400$$

Two balls are represented by the equations above.

Their union is a solid figure with surface area $$A\pi$$ and volume $$B\pi$$

Calculate the sum of the coefficients of the monic quadratic with roots $$\frac { A }{ 10 }$$ and $$\sqrt { B }$$

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