SOLUTION: How to find the volume of a sphere with a surface area of 196 pi miles?

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Question 947011: How to find the volume of a sphere with a surface area of 196 pi miles?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How to find the volume of a sphere with a surface area of 196 pi miles?
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SA+=+4pi%2Ar%5E2 (in square miles, not miles)
Find the radius. (in miles)
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Vol+=+4pi%2Ar%5E3%2F3 (in cubic miles)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
For a SPHERE with radius r, the volume and surface area
are found using:
V=%284%2F3%29pi%2Ar%5E3 and SA=4pi%2Ar%5E2
if a surface area of SA=196pi%2Amil%5E2 we can find radius r
196pi%2Amil%5E2=4pi%2Ar%5E2
%28196cross%28pi%29%2Amil%5E2%29%2F%284cross%28pi%29%29=r%5E2
%28196mil%5E2%29%2F4=r%5E2
49mil%5E2=r%5E2
r=sqrt%2849mil%5E2%29
highlight%28r=7mil%29 ..now plug it in V=%284%2F3%29pi%2Ar%5E3
V=%284%2F3%29pi%2A%287mil%29%5E3
V=%284%2F3%29%2A343pi%2Amil%5E3
V=%281.3333333333333%29343pi%2Amil%5E3
V=457.3333333333219%2Api%2Amil%5E3
V=457.33pi%2Amil%5E3