SOLUTION: I have a ball that is 14 inches in diameter. It has a circumference of 44 inches. I want to know how many square inches there are on that ball. Thank you for your help - maybe

Algebra ->  Surface-area -> SOLUTION: I have a ball that is 14 inches in diameter. It has a circumference of 44 inches. I want to know how many square inches there are on that ball. Thank you for your help - maybe       Log On


   

Question 953640: I have a ball that is 14 inches in diameter. It has a circumference of 44 inches. I want to know how many square inches there are on that ball.
Thank you for your help - maybe at one time I could have figured this out but I'm a "Senior Citizen" now and can't! I just saw that this site is for Students but maybe you can help me?
Thanks again,
Suzy
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'm in your age category- you caught me on a good day
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The circumference of the sphere would be:
+C+=+2%2Api%2Ar+
You are given:
+r+=+d%2F2+
+r+=+14%2F2+
+r+=+7+
and
+C=+44+ in
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+C+=+2%2Api%2Ar+
+44+=+2%2Api%2A7+
+44+=+14pi+
+44+=+43.98+
So, +44+ is pretty close to +14pi+
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The formula for the area of a sphere is: +A+=+4%2Api%2Ar%5E2+
( looked it up ) where +r+ is the radius of the sphere
+A+=+4%2Api%2A7%5E2+
+A+=+4%2A49%2Api+
+A+=+615.752+ in2
( so, actually, all you needed was the radius to find surface area )