SOLUTION: A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.3. What is the height of the cylinder? (Hint: The volume of a cylinder is give by v = r2h.) There is

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.3. What is the height of the cylinder? (Hint: The volume of a cylinder is give by v = r2h.) There is      Log On

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Question 110277: A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.3. What is the height of the cylinder? (Hint: The volume of a cylinder is give by v = r2h.)
There is a square symbol that I cannot recreate that is after the 250 and before in. The 3 is a superscript and there was a square symbol between v = and 42h. Also the 2 is a superscript.
I hope you can help me even though I can't create the problem accurately.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.3. What is the height of the cylinder? (Hint: The volume of a cylinder is give by v = r2h.)
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Formula: Volume = Bh, where B is the base of the cylinder = (pi)r^2 and h is height.
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Your Problem:
Substitute to solve for the height
250 cu.in = (pi)(5^2) h
h = 250/(25pi) in
h = 3.1831 in
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Cheers,
Stan H.