SOLUTION: a cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of the cube is 1728cu.cm

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Question 1050496: a cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of the cube is 1728cu.cm
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) (Show Source):
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a cylinder of maximum volume is inserted in a cube.what is the volume of the cylinder,if the volume of the cube is 1728cu.cm
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Each side of the cube is (1728)^(1/3) = 12 cm
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Volume of the cylinder = pi*r^2*h
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h = 12 ; r = 6
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Volume of the cylinder = pi*6^2*12 = 1357.17
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Cheers,
Stan H.
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Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
The height of the cylinder is the side of the cube.
The diameter of the cylinder is the side of the cube.

So then,