document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189147>Question 1189147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open-topped conical birthday hat is to have volume 55 cm3. Determine the minimum possible amount of material used in making this pot? Show your complete solution and diagram </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820424 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=820424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An open-topped conical birthday hat is to have volume 55 cm3.<BR>\n" );
document.write( " Determine the minimum possible amount of material used in making this pot?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The vol of a cone<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" > = 55<BR>\n" );
document.write( "Get rid of the fraction mult by 3<BR>\n" );
document.write( "<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;\" > = 165<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"165%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the area of the cone material<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29 ALIGN=MIDDLE  ALT=\"pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=165%2F%28pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"165%2F%28pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%2Asqrt%28r%5E2%2B%28165%2F%28pi%2Ar%5E2%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"pi%2Ar%2Asqrt%28r%5E2%2B%28165%2F%28pi%2Ar%5E2%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graphically, radius on the horizontal, area on the vertical<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-3%2C+5%2C+-10%2C+40%2C+pi%2Ax%2Asqrt%28x%5E2%2B%28165%2F%28pi%2Ax%5E2%29%5E2%29%29%2C+11+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Minimum material used when r = 1.4 cm, it then uses 11 sq/cm of material<BR>\n" );
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document.write( "you can check this, find the height (h) using r=1.4, then calculate volume </SPAN>\n" );
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