SOLUTION: I am stuck on thi one!!! Solve for r v=1/3pi*H^2(3r-H)

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Question 110190: I am stuck on thi one!!!
Solve for r
v=1/3pi*H^2(3r-H)
Found 2 solutions by ankor@dixie-net.com, edjones:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for R
Assume you mean solve for r:
:
v=1/3pieH^2(3r-H)
:
Write it:
%281%2F3%29pi%2AH%5E2%283r-H%29 = v
:
Multiply equation by 3 to get rid of the 1/3:
pi%2AH%5E2%283r-H%29 = 3v
:
Divide both sides by pi%2AH%5E2:
3r - H = %283v%29%2F%28pi%2AH%5E2%29
:
3r = %283v%29%2F%28pi%2AH%5E2%29%2B+H
:
Divide equation by 3
r = %283v%29%2F%283pi%2AH%5E2%29%2B+%28H%2F3%29
:
r = %28v%29%2F%28pi%2AH%5E2%29%2B+%28H%2F3%29
:
:
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Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
v=%281%2F3%29%2Api%2AH%5E2%283r-H%29
3v=pi%2AH%5E2%283r-H%29 multiply 3 by each side
3v%2F%28pi%2AH%5E2%29=3r-H divide each side by pi*H^2
%283v%2F%28pi%2AH%5E2%29%29%2BH=3r add H to each side.
%28v%2F%28pi%2AH%5E2%29%29%2BH%2F3=r divide each side by 3
r=%283v%2B%28pi%2AH%5E3%29%29%2F%283pi%2AH%5E2%29%29 LCD=3*pi*H^2
The bigger they are the harder they fall.
Ed