document.write( "Question 1041490: A wooden cylinder is carved to form a cone that has the same base area and same height as the original cylinder. What fraction of the wooden cylinder is wasted? Give a reason. \n" ); document.write( "

Algebra.Com's Answer #656618 by Fombitz(32388) $\"\"$ $\"About$

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The original cylinder has a volume of
\n" ); document.write( " $\"V%5Bcyl%5D=pi%2AR%5E2%2AH\"$ .
\n" ); document.write( "The cone using the same base radius and height has a volume of,
\n" ); document.write( " $\"V%5Bcone%5D=%28pi%2F3%29%2AR%5E2%2AH\"$
\n" ); document.write( "So to go from cylinder to cone you need to remove this volume of wood,
\n" ); document.write( " $\"V=V%5Bcyl%5D-V%5Bcone%5D\"$
\n" ); document.write( " $\"V=pi%2AR%5E2%2AH-%28pi%2F3%29R%5E2%2AH\"$
\n" ); document.write( " $\"V=%28%282pi%29%2F3%29R%5E2%2AH\"$
\n" ); document.write( " $\"V=%282%2F3%29V%5Bcyl%5D\"$
\n" ); document.write( " \n" ); document.write( "

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