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The Earth's crust is approximately 1.65 % of the total volume of Earth.

Volume of sphere = 4/3 * pi * r^3

Volume of earth = 4/3 * pi * 6,360^3

Volume of earth (km3) = 1.078x1012

Crust is on average 35 km thick.

Therefore radius of earth without crust = 6,360 - 35 = 6,325 km.

Volume of earth (not including crust) = 4/3 * pi * 6,325^3 = 1.06x1012 km3

Volume of crust = Total volume of earth - Volume of earth (not including crust).

Volume of crust = 1.77x1010 km3

Percentage of earth's total volume taken by crust = (1.77x1010 / 1.06x1012) * 100

Percentage of earth's total volume taken by crust = 1.641 %

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