document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305563>Question 305563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to make a cone but i only have the volume which is 500 centimeters cube and i need to find the Theda, height and i think that the radios is 477046 what i did was times 500 by 3 and divided by pie  since the formula im using is 500=1/3pier X R square X height </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218794 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "So far, so good.\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^2h\ =\ 500\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r^2h\ =\ \frac{1500}{\pi}\ \approx\ 477.46\">\r<BR>\n" );
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document.write( "but there are an infinite number of combinations of different values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h\"> such that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r^2h\ \approx\ 477.46\">.\r<BR>\n" );
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document.write( "Then only thing you can do now is to fix one of the values and calculate the other.\r<BR>\n" );
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document.write( "For example, if you choose 10 for the radius, the height would come work out very close to 4.775\r<BR>\n" );
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document.write( "Or 5 for the radius gives you <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h\ =\ \frac{60}{\pi}\"> -- not quite 20.\r<BR>\n" );
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document.write( "Or a height of 15 would give you a radius of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ =\ \frac{10}{\sqrt{\pi}}\"> -- A little over 5 and a half.\r<BR>\n" );
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document.write( "Now if you want a specific angle between the cone generator and the axis, that is another story altogether.  By the way, it is Theta, not \"Theda\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \theta\ =\ \tan^{-1}(\frac{r}{h})\">\r<BR>\n" );
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document.write( "Which is to say that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ h\tan(\theta)\">\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h\ =\ r\cot(\theta)\">\r<BR>\n" );
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document.write( "Which, combined with the earlier derivations leads us to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ \sqrt[3]{\frac{1500}{\pi\cot\theta}}\">\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h\ =\ \sqrt[3]{\frac{1500}{\pi\tan^2\theta}}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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