SOLUTION: The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume. Find the radius of a spherical tank that has a volume of 32 times (pie)/3. This question is very di

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume. Find the radius of a spherical tank that has a volume of 32 times (pie)/3. This question is very di      Log On

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Question 174410: The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume. Find the radius of a spherical tank that has a volume of 32 times (pie)/3.
This question is very difficult and I cant figure out how to start.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume.
Find the radius of a spherical tank that has a volume of 32 times (pie)/3
:
Start by substituting 32pi%2F3 for V in the given equation
:
r = %28.75V%2Fpi%29%5E%281%2F3%29
:
r = %28.75%2832pi%2F3%29%2Fpi%29%5E%281%2F3%29
:
Multiply .75*32 = 24, and we have
r = %28%2824pi%2F3%29%2Fpi%29%5E%281%2F3%29
:
Cancel 3 into 24 and you have:
r = %28%288pi%29%2Fpi%29%5E%281%2F3%29
:
cancel pi:
r = 8%5E%281%2F3%29
r = 2