document.write( "Question 763128: A cube & a sphere have equal volumes. find the ratio of the radius of the sphere to an edge of the cube? \n" ); document.write( "
Algebra.Com's Answer #464512 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!
Let the radius of the cube be 'r' and edge of the cube be 'd'\r
\n" ); document.write( "\n" ); document.write( "Volume of cube = d^3
\n" ); document.write( "Volume of sphere = \"%284%2F3%29%2Api%2Ar%5E3\" = \"4.19%2Ar%5E3\" (approx)\r
\n" ); document.write( "\n" ); document.write( "Given that both volumes are equal\r
\n" ); document.write( "\n" ); document.write( "d^3 = 4.19*r^3\r
\n" ); document.write( "\n" ); document.write( "r^3/d^3 = 1/4.19 = 0.2387\r
\n" ); document.write( "\n" ); document.write( "r/d = \"%280.2387%29%5E%281%2F3%29\" = 0.6203 (approximately)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Ratio of radius of sphere to edge of cube = \"highlight%280.6203%29\"\r
\n" ); document.write( "\n" ); document.write( ":)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );