document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013915>Question 1013915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions of the cone of maximum volume if the diameter and height of the cone total 24 cm.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630270 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39633)</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=630270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Height h<BR>\n" );
document.write( "Diameter d<BR>\n" );
document.write( "v for volume\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28v=%281%2F4%29h%2Api%2Ad%5E2%2Ch%2Bd=24%29 ALIGN=MIDDLE  ALT=\"system%28v=%281%2F4%29h%2Api%2Ad%5E2%2Ch%2Bd=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%281%2F4%29pi%2A%2824-d%29%2Ad%5E2 ALIGN=MIDDLE  ALT=\"v=%281%2F4%29pi%2A%2824-d%29%2Ad%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=%281%2F4%29pi%2824d%5E2-d%5E3%29 ALIGN=MIDDLE  ALT=\"v=%281%2F4%29pi%2824d%5E2-d%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=6pi%2Ad%5E2-%28pi%2F4%29d%5E3 ALIGN=MIDDLE  ALT=\"v=6pi%2Ad%5E2-%28pi%2F4%29d%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A calculus practice, derivative:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dv%2Fdd=12pi%2Ad-%283pi%2F4%29d%5E2 ALIGN=MIDDLE  ALT=\"dv%2Fdd=12pi%2Ad-%283pi%2F4%29d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12pi%2Ad-%283pi%2F4%29d%5E2=0 ALIGN=MIDDLE  ALT=\"12pi%2Ad-%283pi%2F4%29d%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=d%2812pi-%283pi%2F4%29d%29=0 ALIGN=MIDDLE  ALT=\"d%2812pi-%283pi%2F4%29d%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=0%2CNotReasonable ALIGN=MIDDLE  ALT=\"d=0%2CNotReasonable\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12pi=%283pi%2F4%29d ALIGN=MIDDLE  ALT=\"12pi=%283pi%2F4%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=12%2A4%2Api%2F%283pi%29 ALIGN=MIDDLE  ALT=\"d=12%2A4%2Api%2F%283pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=4%2A4 ALIGN=MIDDLE  ALT=\"d=4%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=16%29 ALIGN=MIDDLE  ALT=\"highlight%28d=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the corresponding height, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=8%29 ALIGN=MIDDLE  ALT=\"highlight%28h=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Those should give the maximum volume using that restriction for h and d.<BR>\n" );
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