document.write( "Question 835462: A sphere with a 4 in. radius is being plated with silver for a cost of $30. To the nearest hundredth what is the radius of a sphere which is plated with silver for a cost of $80? \n" ); document.write( "

Algebra.Com's Answer #503540 by Fombitz(32388) $\"\"$ $\"About$

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The surface area of a sphere is
\n" ); document.write( " $\"SA%5Bs%5D=2%2Api%2AR%5E2=2%2Api%2A4%5E2=32%2Api\"$
\n" ); document.write( "The cost for that sphere plating is $30.
\n" ); document.write( "So the cost per square inch is $\"C=30%2F%2832%2Api%29=15%2F%2816%2Api%29\"$
\n" ); document.write( "Now for an $80 job,
\n" ); document.write( " $\"80=SA%2A%2815%2F%2816%2Api%29%29\"$
\n" ); document.write( " $\"SA=%2880%2A16%2Api%29%2F15\"$
\n" ); document.write( " $\"SA=%2816%2A16%2Api%29%2F3\"$
\n" ); document.write( " $\"2%2Api%2AR%5E2=%28256%2Api%29%2F3\"$
\n" ); document.write( " $\"R%5E2=128%2F3\"$
\n" ); document.write( " $\"R=sqrt%28128%2F3%29\"$
\n" ); document.write( "Use your calculator to get that to the desired decimal places. \n" ); document.write( "

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