SOLUTION: A cylinder has a volume of 75,400 cubic feet. What is the radius of the cylinder if the height of the cylinder is 3 times longer than the radius?

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Question 421907: A cylinder has a volume of 75,400 cubic feet. What is the radius of the cylinder if the height of the cylinder is 3 times longer than the radius?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cylinder has a volume of 75,400 cubic feet.
What is the radius of the cylinder if the height of the cylinder is 3 times longer than the radius?
:
Vol of cylinder: V+=+pi%2Ar%5E2%2Ah
:
Let x = the radius (r)
then
3x = the height (h)
:
pi%2Ax%5E2%2A3x = 75400
pi%2A3x%5E3 = 75400
Divide both sides by 3pi, results
x^3 = 75400%2F%283%2Api%29
x^3 = 8000.2
x = 3sqrt%288000.2%29
x = 20.0 ft is the radius
:
:
:
Check solution on calc: enter: pi%2A20%5E2%2A60 results: 75398.2237 ~ 75400