document.write( "Question 610699: find the volume of the largest cylinder with a circular base that can be inscribed in a cube which has a volume of 27m^3.
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Algebra.Com's Answer #384513 by jamesgunasekaran(1) $\"\"$ $\"About$

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The volume of a cube with side s is $\"+s%5E3+\"$ . Hence find the side of the cube
\n" ); document.write( "which is going to be $\"sqrt+%2827%29=+3+\"$ .
\n" ); document.write( "Hence a largest cylinder with base inscribed inside a cube will have the diameter 3 meters. and its maximum height will be the height of the cube. Hence in this case it is 3 meters. Hence the volume of a cylinder with the above parameters will be $\"%28pi%2F4%29%2A%28d%5E2%29%2A+height+\"$
\n" ); document.write( "Hence volume is = $\"+%28pi%2F4%29%2A3%2A3%2A3\"$ = $\"+%28297%2F14%29+m%5E2\"$ \n" ); document.write( "

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