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I need math help?

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Assume the world is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre. If the moon is in a geostationary orbit around the Earth, and assuming a Earth sidereal day is exactly 24 hours, how far is that geostationary orbit above the surface of Earth?

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  1. see: http://en.wikipedia.org/wiki/Geosynchron...


  2. The actual text of this week's Neopets "Lenny Conundrum" contest puzzle (Round 271) is as follows:

    "Assume the world of Neopia is a spherical planet with a diameter of 1600 km with a uniform density of 5200 kilograms per cubic metre. If the moon of Kreludor is in a geostationary orbit around Neopia, and assuming a Neopian sidereal day is exactly 24 hours, how far is that geostationary orbit above the surface of Neopia?"

    To obtain the prize-winning answer value for this latest Neopets "Lenny Conundrum" contest puzzle, try following the instructions here:

    http://lennyconundrumsolutions.blogspot....
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