SOLUTION: The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball. Please explain.

Algebra ->  Surface-area -> SOLUTION: The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball. Please explain.       Log On


   

Question 828727: The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball. Please explain.
Found 2 solutions by LinnW, Alan3354:
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
surface area of sphere = 4%28pi%29r%5E2
Assume the baseball has a radius of 1 unit.
The basketball has a radius of 4.1 units.
So the ratio of surface areas is
%284%28pi%29%284.1%29%5E2%29%2F%284%28pi%29%281%29%5E2%29
%284%28pi%29%29 cancels out
%28%284.1%29%5E2%29%2F%281%29%5E2%29
16.81%2F1
So the surface area of the basketball is 16.81 times larger.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of a basketball is 4.1 times that of a baseball. How many times larger is the surface area of the basketball.
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SA is a function of the square of the radius.
SA+=+4pi%2Ar%5E2
4.1^2 = 16.81 times as larger
= 15.81 times larger (NOT A TYPO)
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"times larger" and times as large are not the same thing.
1 times larger does not mean the same size.
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PS "10 times smaller" is gibberish, makes no sense.
1 times smaller (or closer, nearer) is zero (0).