By “smoothing out” I mean flattening all mountains and filling all trenches so that the entire earth has exactly the same radius everwhere. Water naturally spreads out equally on such a surface, so how high would the water level be?
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it would reach sea level
I sea what you did there ;)
This sounds like a question for XKCD. Along with how could we flatten it out.
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The volume of the Earth without surface water is 2.59x10^11 miles^3.
Earth’s surface water has a volume of 3.33x10^8 miles^3.
So, the depth of a surface ocean made up of all water on Earth would be approximately 2 miles.
Around 2.7 kilometres.
*Order of magnitude out.
You might be a few decimal places off.
