Consider the "growing sphere" that has the equation

(x−2)2+(y+1)2+(z−α)2=α2(x - 2)^2 + (y + 1)^2 + (z - \alpha)^2 = \alpha^2

where α\alpha is a positive number. As α\alpha gets bigger, what will happen to the volume of the sphere?

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Type a concept, like “slope” or “photosynthesis”.

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