document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200166>Question 200166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "A rectangular piece of sheet metal with an area of 800 in^2 is to be bent into a cylindrical length of stovepipe having a volume of 400 in^3. What are the dimensions of the sheet metal?\r<BR>\n" );
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document.write( "thanks for the homework help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150568 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of sheet metal with an area of 800 in^2 is to be bent<BR>\n" );
document.write( " into a cylindrical length of stovepipe having a volume of 400 in^3.<BR>\n" );
document.write( " What are the dimensions of the sheet metal? <BR>\n" );
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document.write( "Label the rectangular piece of metal as follows:<BR>\n" );
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document.write( "Let h = the length, (will be the length of the pipe)<BR>\n" );
document.write( "Let c = the width, (will be the circumference of the pipe<BR>\n" );
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document.write( "The area of the metal<BR>\n" );
document.write( "h * c = 800<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2Fc ALIGN=MIDDLE  ALT=\"800%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the radius from the circumference<BR>\n" );
document.write( "2*pi*r = c<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%282pi%29 ALIGN=MIDDLE  ALT=\"c%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The volume:<BR>\n" );
document.write( "pi*r^2*h = 400<BR>\n" );
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document.write( "Substitute (c/2pi) for r, and (800/c) for h<BR>\n" );
document.write( "pi*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%282pi%29 ALIGN=MIDDLE  ALT=\"c%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%282pi%29 ALIGN=MIDDLE  ALT=\"c%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2Fc%29 ALIGN=MIDDLE  ALT=\"800%2Fc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 400<BR>\n" );
document.write( "cancel out a pi and a c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2 ALIGN=MIDDLE  ALT=\"c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282pi%29 ALIGN=MIDDLE  ALT=\"1%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*800 = 400<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%284pi%29 ALIGN=MIDDLE  ALT=\"c%2F%284pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*800 = 400<BR>\n" );
document.write( "Cancel the 4 into 800<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200c%29%2Fpi ALIGN=MIDDLE  ALT=\"%28200c%29%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 400<BR>\n" );
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document.write( "200c = 400*pi<BR>\n" );
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document.write( "divide 200 into both sides<BR>\n" );
document.write( "c = 2*pi<BR>\n" );
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document.write( "c = 6.283 is the circumference of the pipe<BR>\n" );
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document.write( "Find the height<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2Fc ALIGN=MIDDLE  ALT=\"800%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800%2F6.283 ALIGN=MIDDLE  ALT=\"800%2F6.283\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 127.33\" is the height of the pipe<BR>\n" );
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document.write( "The dimensions of the metal: 127.33\" by 6.283\"<BR>\n" );
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document.write( "Check solution by finding the volume with these value<BR>\n" );
document.write( "Find r<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%282pi%29 ALIGN=MIDDLE  ALT=\"c%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.283%2F%282pi%29 ALIGN=MIDDLE  ALT=\"6.283%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 1\"<BR>\n" );
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document.write( "V = pi*1^2*127.33<BR>\n" );
document.write( "V = 400.0 cu/in </SPAN>\n" );
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