document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312097>Question 312097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A crayon in the shape of a cylinder surmounted by a conical tip has a total<BR>\n" );
document.write( "length of 8 cm. and a diameter of 1 cm. The total volume is 5 cubic cm.<BR>\n" );
document.write( "If x is the length of the cylinder and y is the height of the cone.<BR>\n" );
document.write( "Find x and y.<BR>\n" );
document.write( "I've been trying to solve this using the elimination method of a system<BR>\n" );
document.write( "of linear equations in two variables. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223139 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=223139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total length is 8 cm.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=8 ALIGN=MIDDLE  ALT=\"x%2By=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume of the cylinder is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vcyl=pi%2AR%5E2%2Ax ALIGN=MIDDLE  ALT=\"Vcyl=pi%2AR%5E2%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume of a cone is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vcone=%28pi%2F3%29%2AR%5E2%2Ay ALIGN=MIDDLE  ALT=\"Vcone=%28pi%2F3%29%2AR%5E2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total crayon volume is. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vtotal=Vcyl%2BVcone=5 ALIGN=MIDDLE  ALT=\"Vtotal=Vcyl%2BVcone=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Vtotal=pi%2AR%5E2%2Ax%2B%28pi%2F3%29%2AR%5E2%2Ay=5 ALIGN=MIDDLE  ALT=\"Vtotal=pi%2AR%5E2%2Ax%2B%28pi%2F3%29%2AR%5E2%2Ay=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=D%2F2=1%2F2 ALIGN=MIDDLE  ALT=\"R=D%2F2=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"R%5E2=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2F4%29%2Ax%2B%28pi%2F12%29y=5 ALIGN=MIDDLE  ALT=\"%28pi%2F4%29%2Ax%2B%28pi%2F12%29y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2Fpi%29 ALIGN=MIDDLE  ALT=\"%2812%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=60%2Fpi ALIGN=MIDDLE  ALT=\"3x%2By=60%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Subtract eq. 1 from eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By-3x-y=8-60%2Fpi ALIGN=MIDDLE  ALT=\"x%2By-3x-y=8-60%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=8-60%2Fpi ALIGN=MIDDLE  ALT=\"-2x=8-60%2Fpi\"   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%28x=30%2Fpi-4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=30%2Fpi-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=8 ALIGN=MIDDLE  ALT=\"x%2By=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8-x=8-30%2Fpi%2B4 ALIGN=MIDDLE  ALT=\"y=8-x=8-30%2Fpi%2B4\"   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%28+y=12-30%2Fpi%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+y=12-30%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );