document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824216>Question 824216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A designer is working on a cylindrical punching bag. He wants to use a maximum of of 1.3m(squared) of material to make the bag, and has determined that the diameter of the bag should be 36 cm. Determine the maximum possible height of the bag, to the nearest tenth of a centimetre.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496190 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make a formula for surface area of a cylinder.\r<BR>\n" );
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document.write( "h = height<BR>\n" );
document.write( "d = diameter, 36 cm<BR>\n" );
document.write( "r = radius, 18 cm<BR>\n" );
document.write( "A = surface area, 1.3 m^2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%28pi%2Ar%5E2%29%2Bh%2A2%2Api%2Ar ALIGN=MIDDLE  ALT=\"A=2%28pi%2Ar%5E2%29%2Bh%2A2%2Api%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%2Api%2Ar%5E2%2B2%2Ah%2Api%2Ar ALIGN=MIDDLE  ALT=\"A=2%2Api%2Ar%5E2%2B2%2Ah%2Api%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "We wanted to make a decision about h, so solve for h:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-2%2Api%2Ar%5E2=2%2Api%2Ar%2Ah ALIGN=MIDDLE  ALT=\"A-2%2Api%2Ar%5E2=2%2Api%2Ar%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28h=%28A-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28h=%28A-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------formula for h, in terms of RADIUS, not diameter.   Arbitrary choice.\r<BR>\n" );
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document.write( "substitute values  .  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=%281.3-2%2Api%2A0.18%5E2%29%2F%282%2Api%2A0.18%29%29 ALIGN=MIDDLE  ALT=\"highlight%28h=%281.3-2%2Api%2A0.18%5E2%29%2F%282%2Api%2A0.18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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