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Append a z-axis to the 2-dimensional plane and conquer the realm of 3-dimensional space.

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The center of the sphere \[x^2-10x+y^2+z^2-18z+99=0\] is \((a,b,c).\) Find the value of \(a+b+c.\)

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What is the radius of the sphere \[x^2+y^2+z^2=22?\]

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