document.write( "Question 1151724: You are transplanting a fern from a pot in the shape of a rectangular prism into one in the shape of a cylinder. The height of the prism is triple its length. Its length is 8 cm greater than its width. The two pots have the same volume and the same height. What is the algebraic expression for the radius of the cylindrical pot? \n" ); document.write( "
Algebra.Com's Answer #773554 by ankor@dixie-net.com(22740)\"\" \"About 
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You are transplanting a fern from a pot in the shape of a rectangular prism into one in the shape of a cylinder.
\n" ); document.write( " The height of the prism is triple its length.
\n" ); document.write( " Its length is 8 cm greater than its width.
\n" ); document.write( " The two pots have the same volume and the same height.
\n" ); document.write( " What is the algebraic expression for the radius of the cylindrical pot?
\n" ); document.write( ":
\n" ); document.write( "let L = the length of the prism
\n" ); document.write( "then
\n" ); document.write( "(L-8) = the width
\n" ); document.write( "and
\n" ); document.write( "3L = the height of the prism and the height of the cylinder
\n" ); document.write( ":
\n" ); document.write( "Cylinder Vol = Prism vol
\n" ); document.write( "\"pi%2Ar%5E2%2A%283L%29+=+L%2A%28L-8%29%2A3L\"
\n" ); document.write( "\"pi%2Ar%5E2%2A%283L%29+=+3L%5E2%28L-8%29\"
\n" ); document.write( "\"pi%2Ar%5E2%2A%283L%29+=+3L%5E3-24L%5E2\"
\n" ); document.write( "simplify, divide thru by 3L
\n" ); document.write( "\"pi%2Ar%5E2+=+L%5E2-8L\"
\n" ); document.write( "\"r%5E2+=+%28L%5E2-8L%29%2Fpi\"
\n" ); document.write( ":
\n" ); document.write( "r = \"sqrt%28%28L%5E2-8L%29%2Fpi%29\" is the radius\r
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