\r\n" );
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document.write( "First we look at the mid cross section.\r\n" );
document.write( "Let the radius of the circle (which is also the radius of the sphere),\r\n" );
document.write( "be \"a\".\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
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document.write( "Then the ratio of the volume of the sphere to the volume of the cone,\r\n" );
document.write( "which is the answer you're looking for, will be\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The hard part is finding the radius of the sphere \"a\", in terms\r\n" );
document.write( "of \"r\" and \"h\".\r\n" );
document.write( "\r\n" );
document.write( "By similar right triangles OPQ and TSQ,\r\n" );
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document.write( "
\r\n" );
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document.write( "SQ = h\r\n" );
document.write( "SO = a\r\n" );
document.write( "OQ = SQ-SO = h-a\r\n" );
document.write( "OP = a\r\n" );
document.write( "TS = r\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Substituting,\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiplying:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( " \r\n" );
document.write( "Now we substitute that horrible thing in: \r\n" );
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document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
