document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151142>Question 1151142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cylinder A has the same volume as cylinder B. If the radius of A is three times the radius of B, what is the ratio of the height of A to the height of B?<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 #772779 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let r be the radius of cylinder B; then the radius of cylinder A is 3r.<br><BR>\n" );
document.write( "The volume of cylinder B is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28r%5E2%29%28h%29 ALIGN=MIDDLE  ALT=\"%28pi%29%28r%5E2%29%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The volume of cylinder A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28%283r%29%5E2%29%28h%29+=+9%28pi%29%28r%5E2%29%28h%29 ALIGN=MIDDLE  ALT=\"%28pi%29%28%283r%29%5E2%29%28h%29+=+9%28pi%29%28r%5E2%29%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "So tripling the radius in cylinder A makes the volume 9 times the volume of cylinder B.  If the volumes are to be the same, the height of cylinder A must be 1/9 the height of cylinder B.<br><BR>\n" );
document.write( "ANSWER: The ratio of the heights of cylinders A and B is 1:9.<br><BR>\n" );
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