document.write( "Question 1108536: A cube of side length s sits inside a sphere of radius r so that the vertices of the cube sit on the sphere. Find the ratio r : s. \n" ); document.write( "

Algebra.Com's Answer #723613 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "If \"s\" is the cube's side length, then the cube's longest 3D diagonal is  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At the same time, this longest diagonal is the DIAMETER of the sphere:\r\n" );
document.write( "\r\n" );
document.write( " = 2r.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore,   = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );