Imagine the earth as a polished metal sphere with a steel band around the equator flush against the surface.

The band is cut and one foot added to its length. It's then rewelded together and positioned so as to be equidistant from the surface of the sphere (still at the equator) all the way around.

How much space would there be between the band and the surface of the sphere? Enough to slip in a playing card, maybe?

How about if the sphere were not the size of the earth but the size of the sun instead? Or the galaxy? Or a baseball? How much space between the bands and the surfaces of the spheres then?

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