SOLUTION: The formula for the volume of a sphere is {{{v=4/3pir^3}}}. solve for R the radius of a sphere is {{{r= cube sqrt 3v/4pi}}} if the volume of a sphere is {{{20ft^3}}}, what is the r

Algebra ->  Rational-functions -> SOLUTION: The formula for the volume of a sphere is {{{v=4/3pir^3}}}. solve for R the radius of a sphere is {{{r= cube sqrt 3v/4pi}}} if the volume of a sphere is {{{20ft^3}}}, what is the r      Log On


   



Question 723338: The formula for the volume of a sphere is v=4%2F3pir%5E3. solve for R the radius of a sphere is r=+cube+sqrt+3v%2F4pi if the volume of a sphere is 20ft%5E3, what is the radius of the sphere to the nearest hundredth
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the volume of a sphere is v=4%2F3pir%5E3. solve for R the radius of a sphere is r=+cube+sqrt+3v%2F4pi
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V = (4/3)pi*R^3
pi*R^3 = (3/4)V
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R^3 = (3V)/(4pi)
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R = cbrt[(3V)/(4pi)]
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if the volume of a sphere is 20ft%5E3, what is the radius of the sphere to the nearest hundredth
R = cbrt[(3*20)/(4pi)]
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R = cbrt[15/pi]ft.
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the volume of a sphere is v=4%2F3pir%5E3. solve for R the radius of a sphere is r=+cube+sqrt+3v%2F4pi if the volume of a sphere is 20ft%5E3, what is the radius of the sphere to the nearest hundredth
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There is no cube sqrt, there's a square root and a cube root.
Vol+=+4%2Api%2Ar%5E3%2F3+=+20
Solve for r