document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072569>Question 1072569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylinder has a volume of 24 cm^3. The height of a cone with the same radius is two times the height of the cylinder. What is the volume of the cone?  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687436 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cylinder is pi*r^2*h=24; therefore h=24/pi*r^2 and 2h=48/pi*r^2<BR>\n" );
document.write( "Cone is (1/3)pi*r^3*2h.  <BR>\n" );
document.write( "The ratio of the two is 3/2r.<BR>\n" );
document.write( "If the cylinder is 24, then 24/x=3/2r<BR>\n" );
document.write( "3x=48r<BR>\n" );
document.write( "x=16r, the volume of the cone.\r<BR>\n" );
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document.write( "Check with numbers where radius is 3 and height 4<BR>\n" );
document.write( "volume of cylinder is pi*9*4=36 pi<BR>\n" );
document.write( "volume of cone is (1/3)*pi*27*8=72pi<BR>\n" );
document.write( "The ratio of these two is 1/2, and with a ratio of 3/2r, with a radius of 3, the ratio is indeed 1/2.<BR>\n" );
document.write( "Therefore, the cone's volume is 48 cm^3  ANSWER<BR>\n" );
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