document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020211>Question 1020211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cylinders have bases of equal radii. The ratio of their altitudes is 2:3. Find the ratio of a) their volumes b) their lateral areas.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636127 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D%2FV%5B2%5D+=+%28pi%2Ar%5B1%5D%5E2%2Ah%5B1%5D%29%2F%28pi%2Ar%5B2%5D%5E2%2Ah%5B2%5D%29+=+%28r%5B1%5D%2Fr%5B2%5D%29%5E2%2A%28h%5B1%5D%2Fh%5B2%5D%29+=+h%5B1%5D%2Fh%5B2%5D+=+2%2F3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, since the radii are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D%2FL%5B2%5D+=+%282%2Api%2Ar%5B1%5D%2Ah%5B1%5D%29%2F%282%2Api%2Ar%5B2%5D%2Ah%5B2%5D%29+=+h%5B1%5D%2Fh%5B2%5D+=+2%2F3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, since again the radii are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius of the shorter cylinder, while <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius of the taller cylinder. </SPAN>\n" );
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