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(a) What fraction of Earth's diameter is the greatest ocean depth? (b) The greatest mountain height?

Question

(a) What fraction of Earth's diameter is the greatest ocean depth?

(b) The greatest mountain height?

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Solution

(a) The greatest ocean depth is the Mariana Trench, which is about 36,070 feet (or about 6.83 miles). The Earth's diameter is about 7,917.5 miles. To find the fraction, we divide the depth of the ocean by the Earth's diameter:

6.83 miles / 7,917.5 miles = 0.000862 fraction of Earth's diameter.

(b) The greatest mountain height is Mount Everest, which is about 29,029 feet (or about 5.49 miles). Again, we divide the height of the mountain by the Earth's diameter:

5.49 miles / 7,917.5 miles = 0.000693 fraction of Earth's diameter.

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