SOLUTION: The height of a cylinder is 4 centimeters greater than the radius. If the volume of the cylinder is approximately 265 cm^3, what is the radius of the cylinder?

Question 743584: The height of a cylinder is 4 centimeters greater than the radius. If the volume of the cylinder is approximately 265 cm^3, what is the radius of the cylinder?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The height of a cylinder is 4 centimeters greater than the radius. If the volume of the cylinder is approximately 265 cm^3, what is the radius of the cylinder?
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Volume = (base area)*(height)
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265 = (pi*r^2)(r+4)
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265/pi = r^3 + 4r^2
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r^3 + 4r^2 - (265/pi) = 0
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I graphed that cubic and found the following:
r = 3.38 cm
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Cheers,
Stan H.
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