The earth has enough water to cover it to a depth of about a mile. If the same v

Question

The earth has enough water to cover it to a depth of about a mile. If the same volume of water was assembled as a sphere what would be its radius? If the same volume of water was transported to Mars what would its average depth be (ignoring valleys and mountains)? The earth has enough water to cover it to a depth of about a mile. If the same volume of water was assembled as a sphere what would be its radius? If the same volume of water was transported to Mars what would its average depth be (ignoring valleys and mountains)?

Explanation / Answer

Radius of Earth, Re = 3963 miles

Volume of Earth, Ve = 4/3 ? Re^3

Ve = 4/3 ?(3963)^3

Ve = 2.6072 x 10^(11) mi^3

Radius of Earth + Water, Rew = Re + 1

Rew = 3963 + 1 = 3964 mi.

    Volume of Earth + Water, Vew = 4/3 ? Rew^3

    Vew = 4.189(3964)

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