SOLUTION: Can you please show me how to do this?? The height of a cylinder is 6 ft greater then the radius. The volume of a cylinder is given by the formula V=pi r^2 h. If the total volum

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Question 255953: Can you please show me how to do this??
The height of a cylinder is 6 ft greater then the radius. The volume of a cylinder is given by the formula V=pi r^2 h. If the total volume of the cylinder is 60 ft^3, what is the approximate radius of the cylinder?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The height of a cylinder is 6 ft greater then the radius.
The volume of a cylinder is given by the formula V=pi r^2 h.
If the total volume of the cylinder is 60 ft^3, what is the approximate radius of the cylinder?
:
pi%2Ar%5E2%2A%28r%2B6%29+=+60
r%5E2%2A%28r%2B6%29+=+%2860%2Fpi%29
r^3 + 6r^2 = 19.1
:
r^3 + 6r^2 - 19.1 = 0
:
Graph this:
+graph%28+300%2C+200%2C+-4%2C+5%2C+-20%2C+10%2C+x%5E3%2B6x%5E2-19.1%29+
:
r ~ 1.6
:
:
Check that
pi%2A1.6%5E2%2A%281.6%2B6%29 =
pi%2A2.56%2A7.6 = 61 ~ 60