Question 277301: waht would be the height of a cylinder if the volume is 91in. and has a radius of 4in. Found 2 solutions by solver91311, oberobic:Answer by solver91311(24713) (Show Source):
First thing. The volume is not 91 or any other number of inches. It certainly could be 91 cubic inches, but that is not what you said.
The volume of a cylinder is given by:
but you want the height when you know the radius and volume, so divide by
Now all you need to do is plug in the numbers you are given for volume and radius and do the arithmetic. Leave the answer in terms of if you want an exact answer, or use 3.14 for a close enough numerical approximation.
You can put this solution on YOUR website! volume of a cylinder = area of base * height = pi*r^2 * height
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we are told volume = 91 and r=4
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91 = pi(4^2) * h
91 = pi(16) * h
91 = 16pi * h
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dividing by 16*pi
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91/(16*pi) = h
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so the height is about 17.8678 in.
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done
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