document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450765>Question 450765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right cone and a right cylinder have the same volume and same radii how many times taller is the cone than the cylinder?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310171 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the common volume and radius be equal to V and r, and let the heights of the cone and cylinder be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?h_c\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?h_{cyl}\"> respectively. Using the area for a cone,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE V = \frac{1}{3} \pi r^2 h_c\">\r<BR>\n" );
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document.write( "And for a cylinder,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE V = \pi r^2 h_{cyl}\">\r<BR>\n" );
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document.write( "These two are equal, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{3} \pi r^2 h_c = \pi r^2 h_{cyl}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{3} h_c = h_{cyl}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h_c = 3h_{cyl}\">\r<BR>\n" );
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document.write( "Hence, the height of the cone is three times as much as the height of the cylinder. </SPAN>\n" );
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