document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167653>Question 167653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a large soup can is to be designed so that the can will hold 16&#960; in^3 (about 28oz) of soup. find what height and radius of the cylindrical can will minimize the amount of metal needed. note: you will need to use the \"minimum\" program on your calculator. -- I have no idea where to even start with this problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123561 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=123561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a large soup can is to be designed so that the can will hold 16&#960; in^3 (about 28oz) of soup. find what height and radius of the cylindrical can will minimize the amount of metal needed.<BR>\n" );
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document.write( "Find the relationship between the radius and height using the V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah+=+16pi ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah+=+16pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "h =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2816pi%29%29%2F%28%28pi%2Ar%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%2816pi%29%29%2F%28%28pi%2Ar%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel pi<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F%28r%5E2%29 ALIGN=MIDDLE  ALT=\"16%2F%28r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The amt of metal used in the can is determined by the surface area<BR>\n" );
document.write( "S.A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%5E2%29+%2B+%282%2Api%2Ar%2Ah%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%5E2%29+%2B+%282%2Api%2Ar%2Ah%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F%28r%5E2%29 ALIGN=MIDDLE  ALT=\"16%2F%28r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for h<BR>\n" );
document.write( "S.A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%5E2%29+%2B+%282%2Api%2Ar%2A%2816%2Fr%5E2%29%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%5E2%29+%2B+%282%2Api%2Ar%2A%2816%2Fr%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel r:<BR>\n" );
document.write( "S.A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%5E2%29+%2B+%282pi%2816%2Fr%29%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%5E2%29+%2B+%282pi%2816%2Fr%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Or<BR>\n" );
document.write( "S.A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%5E2%29+%2B+%28%2832%2Fr%29pi%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%5E2%29+%2B+%28%2832%2Fr%29pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Put this in your graphing calc<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ax%5E2%29+%2B+%28%2832%2Fx%29pi%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ax%5E2%29+%2B+%28%2832%2Fx%29pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;   x = radius, y = surface area<BR>\n" );
document.write( "Scale it: x: -2, +4; y: -30, +120<BR>\n" );
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document.write( "you graph should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+4%2C+-30%2C+120%2C+%286.28%2Ax%5E2%29%2B%28100.53%2Fx%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+4%2C+-30%2C+120%2C+%286.28%2Ax%5E2%29%2B%28100.53%2Fx%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can estimate that minimum surface area about r = 2 inches<BR>\n" );
document.write( "Use the minimum feature on your calc: bracket the minimum and it will<BR>\n" );
document.write( " give the exact radius and surface area; \r<BR>\n" );
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document.write( "I got radius (x) = 2; giving a Minimum surface area (y) = 75.398 sq/inches<BR>\n" );
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document.write( "Did this make some sense to you? <BR>\n" );
document.write( "  </SPAN>\n" );
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