SOLUTION: A traveler found out that the circumference of the earth at its equator is about 40 700 km. Solve for the area and the volume of the earth. Use 3.14 for the value of pi.

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Question 337077: A traveler found out that the circumference of the earth at its equator is about 40 700 km. Solve for the area and the volume of the earth. Use 3.14 for the value of pi.
Answer by Earlsdon(6294) About Me  (Show Source):
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The circumference (C) of the earth (a sphere for our purposes) is 40,700 km.
We need to find the radius and we know that: C+=+2%2Api%2Ar, so...
40700+=+2%2Api%2Ar Solve for r.
r+=+40700%2F%282%2Api%29
r+=+63899km (using pi+=+3.14)
Now we can find the volume and the surface area of our "spherical" earth.
The volume of a sphere is given by:
V+=+%284%2F3%29%2Api%2Ar%5E3 Substitute r+=+63899 and pi+=+3.14
V+=+%284%2F3%29%2Api%2A%2863899%29%5E3 Use your calculator to get...
V+=+1.09X10%5E15cubic km.
The surface area of a sphere is given by:
S+=+4%2Api%2Ar%5E2 Substitute r+=+63899 and pi+=+3.14
S+=+4%2A3.14%2A%2863899%29%5E2 Use your calculator to get...
S+=+5.128X10%5E10square km.