document.write( "Question 424149: find the volume of the largest circular cone that can be cut out of a cube whose edge is 9cm. \n" ); document.write( "

Algebra.Com's Answer #295781 by Gogonati(855) $\"\"$ $\"About$

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Solution:Since the edge of cube is 9 cm this will be the altitude of the cone.
\n" ); document.write( " The radius of circular cone will be 9:2=4.5 cm.\r
\n" ); document.write( "\n" ); document.write( " The volume of cone is given by formula: $\"V=%281%2F3%29%2A%28pi%29%2AR%5E2%2AH\"$ , where R is the radius and H the altitude of cone. Since we are asked for the largest cone, its volume must be equal or less than the volume of cube. We write:\r
\n" ); document.write( "\n" ); document.write( " $\"+%281%2F3%29%2A%28pi%29%2A%284.5%29%5E2%2A%289%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F3%29%2A%28pi%29%2A20.25%2A9\"$ =\r
\n" ); document.write( "\n" ); document.write( " V= $\"60.75%28pi%29+cm%5E3\"$ \r
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