document.write( "Question 805300: The radius of cross-section of a solid cylindrical rod of iron is 50cm the cylinder is melted down and formed into 6 solid spherical balls of the same radius as that of the cylinder the length of the rod(in metres)is \n" ); document.write( "
Algebra.Com's Answer #485173 by mananth(16946)\"\" \"About 
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Radius of cylinder = 50 cm
\n" ); document.write( "length of cylinder = x\r
\n" ); document.write( "\n" ); document.write( "Volume of cylinder = pi r^2*x\r
\n" ); document.write( "\n" ); document.write( "radius of sphere = x
\n" ); document.write( "volume of sphere = 4/3 pi r^3
\n" ); document.write( "6 spheres
\n" ); document.write( "total volume of 6 spheres = 6*(4/3) pi r^3\r
\n" ); document.write( "\n" ); document.write( "8 pir^3\r
\n" ); document.write( "\n" ); document.write( "Volumes are equal\r
\n" ); document.write( "\n" ); document.write( "8 pi r^3= pi r^2 x\r
\n" ); document.write( "\n" ); document.write( "8r = x\r
\n" ); document.write( "\n" ); document.write( "r= 50
\n" ); document.write( "x= 8*50
\n" ); document.write( "400 cm length of rod\r
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