document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814889>Question 814889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are designing a cone-shaped candle with a volume of 8 cubic inches. The height of a cone is 2 inches longer than the diameter of a base. What should be the diameter and hieght of the cone<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490580 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=490580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d = diameter of the base.<BR>\n" );
document.write( "h=d+2 where h is height.\r<BR>\n" );
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document.write( "Volume, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=h%281%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"v=h%281%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and here, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%281%2F2%29d ALIGN=MIDDLE  ALT=\"r=%281%2F2%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" > so you could use volume formula as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%28d%2B2%29%281%2F3%29pi%2A%281%2F2%29%5E3%2Ad%5E3 ALIGN=MIDDLE  ALT=\"v=%28d%2B2%29%281%2F3%29pi%2A%281%2F2%29%5E3%2Ad%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%28d%2B2%29%281%2F24%29pi%2Ad%5E3 ALIGN=MIDDLE  ALT=\"v=%28d%2B2%29%281%2F24%29pi%2Ad%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and you would want to solve for d, because you were already given v=8 cubic inches.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=d%28pi%2F24%29d%5E3%2B2%28pi%2F24%29d%5E3 ALIGN=MIDDLE  ALT=\"v=d%28pi%2F24%29d%5E3%2B2%28pi%2F24%29d%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%28pi%2F24%29d%5E4%2B2%28pi%2F24%29d%5E3 ALIGN=MIDDLE  ALT=\"v=%28pi%2F24%29d%5E4%2B2%28pi%2F24%29d%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28pi%2F24%29d%5E4%2B%28pi%2F12%29d%5E3-8=0%29 ALIGN=MIDDLE  ALT=\"highlight%28%28pi%2F24%29d%5E4%2B%28pi%2F12%29d%5E3-8=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using the given v=8.\r<BR>\n" );
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document.write( "At this extent, one would prefer to use a graphing calculator or some other software program to handle that cubic equation.  The value of d which satisfies the equation would be (for positive d) the diameter...\r<BR>\n" );
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document.write( "Trying the function in Google as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28pi%2F24%29x%5E4%2B%28pi%2F12%29x%5E3-8 ALIGN=MIDDLE  ALT=\"y=%28pi%2F24%29x%5E4%2B%28pi%2F12%29x%5E3-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, zooming in, the root of y appears to be 2.403, or something very very near it. </SPAN>\n" );
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