Could A Flea, A Rabbit Or Even A Man Squeeze Underneath It?

Geometry Level 3

The circumference of the Earth is approximately 40,000 kilometers (assume that the equator is a perfect circle). The Government has just made a metal band that circles the Earth, touching the ground at all locations.

You come along at night, and as a practical joke, add just 10 meters to the length of the metal band (one hundredth of one kilometer !). If the band sits magically just above the ground at all locations, how far has it risen (in meters)? Give your answer to 2 Significant digits.

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