document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201847>Question 1201847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length of stovepipe having a volume of 600 in3. What are the dimensions of the sheet metal? (Round your answer to one decimal place.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836381 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the width of the piece of sheet metal, and let y be its length.<br><BR>\n" );
document.write( "Roll the sheet lengthwise to form the cylinder; the height of the cylinder is x and the circumference of the cylinder is y.  Then the radius of the cylinder is circumference divided by 2pi, or y/(2pi).<br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "[1] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+=+1200 ALIGN=MIDDLE  ALT=\"xy+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [the area of the piece of sheet metal is 1200 sq in]<BR>\n" );
document.write( "[2] <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29x%28y%5E2%2F%284pi%5E2%29%29=600 ALIGN=MIDDLE  ALT=\"%28pi%29x%28y%5E2%2F%284pi%5E2%29%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [the volume of the cylinder (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28r%5E2%29h ALIGN=MIDDLE  ALT=\"%28pi%29%28r%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is 600 cu in]<br><BR>\n" );
document.write( "Substitute [1] in [2]:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28xy%29%28y%29%2F%284pi%5E2%29=600 ALIGN=MIDDLE  ALT=\"%28pi%29%28xy%29%28y%29%2F%284pi%5E2%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%291200%28y%29%2F%284pi%5E2%29=600 ALIGN=MIDDLE  ALT=\"%28pi%291200%28y%29%2F%284pi%5E2%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2F%284pi%29=1 ALIGN=MIDDLE  ALT=\"2y%2F%284pi%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=4pi ALIGN=MIDDLE  ALT=\"2y=4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2pi ALIGN=MIDDLE  ALT=\"y=2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute that in [1] to find x:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282pi%29=1200 ALIGN=MIDDLE  ALT=\"x%282pi%29=1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=600%2Fpi ALIGN=MIDDLE  ALT=\"x=600%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=600%2Fpi ALIGN=MIDDLE  ALT=\"x=600%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2pi ALIGN=MIDDLE  ALT=\"y=2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can evaluate those dimensions and do the rounding....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );