SOLUTION: a world globe is a sphere. the formula for the volume of a sphere is V=4pier^3/3 and the formula for surface area is SA=4pier^2. Part A. Write an expression for the ratio of the

Algebra ->  Test -> SOLUTION: a world globe is a sphere. the formula for the volume of a sphere is V=4pier^3/3 and the formula for surface area is SA=4pier^2. Part A. Write an expression for the ratio of the      Log On


   

Question 433820: a world globe is a sphere. the formula for the volume of a sphere is V=4pier^3/3 and the formula for surface area is SA=4pier^2.
Part A. Write an expression for the ratio of the surface area of a sphere to its volume.
Part B. Simplify the expression.
Found 2 solutions by psbhowmick, stanbon:
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
V=4%2F3%2Api%2Ar%5E3
SA=4%2Api%2Ar%5E2

Part A: V%2FSA=%284%2F3%2Api%2Ar%5E3%29%2F%284%2Api%2Ar%5E2%29
Part B: V%2FSA=r%2F3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a world globe is a sphere. the formula for the volume of a sphere is V=4pier^3/3 and the formula for surface area is SA=4pier^2.
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Part A. Write an expression for the ratio of the surface area of a sphere to its volume.
S:V = (4(pi)r^2):((4/3)(pi)r^3)
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Part B. Simplify the expression.
S:V = 3/r
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Cheers,
Stan H.
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