SOLUTION: The moon has a surface of approximately 14,650,000 mi2? Estimate its radius to the nearest mile. My textbook ISBN is: 0-13-180915-6. Practice 11-1.

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Question 138389: The moon has a surface of approximately 14,650,000 mi2? Estimate its radius to the nearest mile. My textbook ISBN is: 0-13-180915-6. Practice 11-1.
Found 2 solutions by checkley77, vleith:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4PIR^2 IS THE TOTAL SURFACE AREA OF A SPHERE.
14,650,000=4*3.14*R^2
14,650,000=12.56R^2
R^2=14,650,000/12.56
R^2=1,166,401.2
R=SQRT(1,166,401.2)
R=1,080 MILES IS THE RADIUS.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The surface area of a sphere is given by A+=+4%2Api%2Ar%5E2
You are given A=14%2C650%2C000+mi%5E2 and asked to find r_in_miles
A+=+4%2Api%2Ar%5E2
14650000+=+4%2Api%2Ar%5E2
1165810+=+r%5E2
1079.7+=+r
to the nearest mile r+=+1080