document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721303>Question 721303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of cylinder 2, then the height of cylinder 2 is how many times the height of cylinder 1?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442330 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=442330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> radius of cylinder 1: 3r<BR>\n" );
document.write( "radius of cylinder 2: r\r<BR>\n" );
document.write( "\n" );
document.write( "height of cyl 1: h<BR>\n" );
document.write( "height of cyl 2: y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "volume of cylinder 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%283r%29%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2A%283r%29%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "volume of cylinder 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ay ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The volumes are expected to be equal.  We want to know the ration of y to h.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%283r%29%5E2%2Ah=pi%2Ar%5E2%2Ay ALIGN=MIDDLE  ALT=\"pi%2A%283r%29%5E2%2Ah=pi%2Ar%5E2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9h=y ALIGN=MIDDLE  ALT=\"9h=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%2Fh=9%29 ALIGN=MIDDLE  ALT=\"highlight%28y%2Fh=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Ratio of heights of cylinder 2 to cylinder 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );