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STALIN [3.7K]
3 years ago
10

Someone please help ASAP! Thank you!

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

9514 1404 393

Answer:

  2.20×10^10 km³

Step-by-step explanation:

The formulas for area (A) and volume (V) of a sphere are ...

  A = 4πr²

  V = 4/3πr³ = (r/3)A

The radius can be found from the area as ...

  r = √(A/(4π)) = (1/2)√(A/π)

Then the volume in terms of the area is ...

  V = (1/3)(1/2)√(A/π) · A = A^(3/2)/(6√π)

Filling in the given value of area, we find the volume to be ...

  V = (3.7959×10^7)^(3/2)/(6√π) ≈ 2.1991×10^10 . . . . km³

Rounded to 3 significant figures, the volume of the moon is about ...

  V ≈ 2.20×10^10 km³

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