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
