document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980840>Question 980840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm completely failing to understand ratios. I'm trying to understand a 1 to 1.5 ratio of cylinders of differing diameters. V = pi x r squared x length. Ok got it. My question is, Why is a cylinder measuring 3\" in diameter 24\" long (678.58401 cu in) not the same as a cylinder measuring 1.5\" in diameter 48\" long (339.29201 cu in)? My simple minded logic say's to me that if I have one cylinder 3\" in diameter 24\" long (678.58401 cu in) and divide that by 2 (339.292005 cu in) and add that to the original (678.58401 cu in) for (1017.876015) that (1017.876015 cu in) should be the target 1 to 1.5 ratio. However I don't understand how to turn (1017.876015 cu in) into a length for a 4\" cylinder that is 1.5 to (678.58401 cu in). I suppose that's two questions but any feedback on this confusion would be greatly appreciated.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601907 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39626)</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=601907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try following the formula, and see what happens for the two volumes of the cylinders!  Fundamentally, v for volume, the formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=h%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"v=h%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > if h is \"length\" and r is radius.  If you want d for diameter instead, then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=h%2Api%2A%28d%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"v=h%2Api%2A%28d%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Ratio simply is the comparison of two numbers using a fraction. </SPAN>\n" );
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