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If my density remains the same, as it tends to do if you're a human (and my height stays constant also) then halving my radius would result in a 4 fold decrease in mass. So whatever the ratio of the new radius to the old, you must square it to find the new mass to old mass ratio. This is because the mass with constant height is a two dimensional function of area, whereas the radius is only one dimensional. Eg. Radius is now 80% of original. New mass is 80% * 80% = 64% of original. If you're talking 3 dimensional radius reduction, like a sphere, then you CUBE the ratio. So 80% * 80% * 80% = 51.2%. So reducing the radius by only 20% results in nearly halving the mass!

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