document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867845>Question 867845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The points of intersection of the line 2x+3y=12 with the x-axis and the y-axis are the endpoints of a segment. To the nearest hundredth, what is the volume of the cone formed by rotating that segment around the x-axis ? <BR>\n" );
document.write( "A. 24 units3<BR>\n" );
document.write( "B. 100.53 units3<BR>\n" );
document.write( "C. 150.72 units3<BR>\n" );
document.write( "D. 401.92 units3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523791 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is 2x + 3y = 12<BR>\n" );
document.write( "when x = 0, the equation becomes 3y = 12 and you get y = 4<BR>\n" );
document.write( "when y = 0, the equation becomes 2x = 12 and you get x = 6<BR>\n" );
document.write( "the height of the cone will be 6 and the radius of the cone will be 4.<BR>\n" );
document.write( "the volume of a cone is equal to 1/3 * pi * r^2 * h<BR>\n" );
document.write( "that becomes 1/3 * pi * 4^2 * 6 which becomes 1/3 * pi * 16 * 6 which becomes pi * 16 * 2 which becomes 32 * pi which is roughly equal to 100.53 cubic units.<BR>\n" );
document.write( "A graph of the line is shown below:<BR>\n" );
document.write( "the equation for the other side of the cone is 2x - 3y = 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%2812-2x%29%2F3%2C%282x-12%29%2F3%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%2812-2x%29%2F3%2C%282x-12%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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