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There is no equation for the "scale factor" of a sphere. If I assume you to mean how the volume increases with radius then you would use the volume equation for a sphere and calculate volume based on corresponding radii. You could then divide the resultant volumes to give a percentage or factor of how much larger or small one sphere is than another. You'll see that a small change in radius causes a large change in volume due to the volume being a cubic factor of the radius.

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15y ago

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Q: What is the equation for the scale factor of a sphere?
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