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Building a road to escape Earth's gravity by making a pyramid on Antartica

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If you have miles of steel pipes 10m thick, could you pump water from the sea to the centre of Antarctica, then pump it into the air like a geyser so that it falls around the pipe. As the fallen seawater freezes and makes a cone, extensions are added to the pipe to raise the height and more water is pumped through. Every kilometre, a pumping station is added, until the pipes and the frozen cone grows higher. Can such a mountain be made tall enough to allow a train running on a train track going up the cone to escape earth's orbit?

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This post was sourced from https://worldbuilding.stackexchange.com/q/148100. It is licensed under CC BY-SA 4.0.

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