document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915396>Question 915396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radii of two similar cones are in the ratio 5:3.Find the ratio of their volumes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555595 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=555595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are similar, so the heights are in the same ratio.\r<BR>\n" );
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document.write( "The ratio for radius of larger to smaller cone is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "and because of the two cones being SIMILAR, the ratio of the HEIGHT of the larger cone to the smaller cone is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "smaller 3r, 3h<BR>\n" );
document.write( "larger, 5r, 5h<BR>\n" );
document.write( "Using v for volume of smaller and V for volume or larger,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%281%2F3%29%283h%29%28pi%29%283r%29%5E2 ALIGN=MIDDLE  ALT=\"v=%281%2F3%29%283h%29%28pi%29%283r%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29%285h%29%28pi%29%285r%29%5E2 ALIGN=MIDDLE  ALT=\"V=%281%2F3%29%285h%29%28pi%29%285r%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You can calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2Fv ALIGN=MIDDLE  ALT=\"V%2Fv\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the ratio of the volume of the larger cone to the volume of the smaller cone.  Substitute the expressions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%285h%29%28pi%29%285r%29%5E2%29%2F%28%281%2F3%29%283h%29%28pi%29%283r%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify that ratio.<BR>\n" );
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