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False.

The earth has a radius of 6,371 km. As such it has a volume of:1.083x1012 km3

The Earth's core has a radius of 3400 km. As such it has a volume of 0.164x1012 km3

1.083x1012 / 0.164x1012 = approx. 6.6

Therefore the Earth's core composes approximately 1/6th the total volume of Earth.

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Q: Does the core of the earth makes up two thirds of the earth?
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