document.write( "Question 395600: find the waste in making the largest possible cylindrical rod from a bar of iron 3 feet long which has a square cross section whose diagonal is 6 inches \n" ); document.write( "

Algebra.Com's Answer #280812 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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find the waste in making the largest possible cylindrical rod from a bar of iron
\n" ); document.write( " 3 feet long which has a square cross section whose diagonal is 6 inches
\n" ); document.write( ":
\n" ); document.write( "Find the length of the sides (x) of the square cross section
\n" ); document.write( "x^2 + x^2 = 6^2
\n" ); document.write( "2x^2 = 36
\n" ); document.write( "x^2 = 18
\n" ); document.write( "x = $\"sqrt%2818%29\"$ ; inches, side of the bar; this is also the diameter of the cylinder
\n" ); document.write( "Find the volume of the bar of iron
\n" ); document.write( " $\"sqrt%2818%29\"$ * $\"sqrt%2818%29\"$ *3 = 18*3 = 54 cu/inches, vol of the bar
\n" ); document.write( ":
\n" ); document.write( "Radius of the cylinder
\n" ); document.write( "r = $\"%28sqrt%2818%29%29%2F2\"$
\n" ); document.write( "Volume of the cylinder
\n" ); document.write( "V = $\"pi%2A%28%28sqrt%2818%29%29%2F2%29%5E2%2A3\"$
\n" ); document.write( "V = $\"pi%2A%2818%2F4%29%2A3\"$
\n" ); document.write( "V = 42.41 cu/inches
\n" ); document.write( ":
\n" ); document.write( "Find the waste
\n" ); document.write( "54 - 42.41 = 11.6 cu/inches wasted \n" ); document.write( "

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