document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875784>Question 875784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylindrical petrol storage tank is to be constructed of metal on a concrete<BR>\n" );
document.write( "base. Find the relation between the radius of the base and the height of a<BR>\n" );
document.write( "tank so that the amount of metal used is the least possible to hold a given<BR>\n" );
document.write( "volume V0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528449 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a cylinder,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B0%5D=pi%2AR%5E2%2AH ALIGN=MIDDLE  ALT=\"V%5B0%5D=pi%2AR%5E2%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the surface area of the tank (amount of metal used to make it),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%2Api%2AR%5E2%2B2%2Api%2AR%2AH ALIGN=MIDDLE  ALT=\"A=2%2Api%2AR%5E2%2B2%2Api%2AR%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=V%5B0%5D%2F%28pi%2AR%5E2%29 ALIGN=MIDDLE  ALT=\"H=V%5B0%5D%2F%28pi%2AR%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%2Api%2AR%5E2%2B2%2Api%2AR%2A%28V%5B0%5D%2F%28pi%2AR%5E2%29%29 ALIGN=MIDDLE  ALT=\"A=2%2Api%2AR%5E2%2B2%2Api%2AR%2A%28V%5B0%5D%2F%28pi%2AR%5E2%29%29\"   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%2B%282V%5B0%5D%29%2FR ALIGN=MIDDLE  ALT=\"A=2%2Api%2AR%5E2%2B%282V%5B0%5D%29%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the minimum amount of metal take the derivative of A and set it to zero,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dA%2FdR=4%2Api%2AR-%282V%5B0%5D%29%2FR%5E2=0 ALIGN=MIDDLE  ALT=\"dA%2FdR=4%2Api%2AR-%282V%5B0%5D%29%2FR%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2AR=%282V%5B0%5D%29%2FR%5E2 ALIGN=MIDDLE  ALT=\"4%2Api%2AR=%282V%5B0%5D%29%2FR%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B0%5D=2pi%2AR%5E3 ALIGN=MIDDLE  ALT=\"V%5B0%5D=2pi%2AR%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2AR%5E2%2AH=2pi%2AR%5E3 ALIGN=MIDDLE  ALT=\"pi%2AR%5E2%2AH=2pi%2AR%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=2R ALIGN=MIDDLE  ALT=\"H=2R\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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