document.write( "Question 433394: how to find the diameter of a ball that has been melted from a rectangular prism \n" ); document.write( "
Algebra.Com's Answer #300431 by Gersid(33)\"\" \"About 
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First find the volume of the rectangular prism:
\n" ); document.write( "\"V+=+L%2AW%2AH\"
\n" ); document.write( "now set this equal to the volume of the sphere:
\n" ); document.write( "\"V+=+%284%2F3%29%28pi%29R%5E3\" to get:
\n" ); document.write( "\"L%2AW%2AH+=+%284%2F3%29%28pi%29R%5E3\" Solve this for \"R%5E3\".
\n" ); document.write( "\"R%5E3+=+3L%2AW%2AH%2F4%28pi%29\" Take the cube root of both sides.
\n" ); document.write( "\"R+=+%28%283L%2AW%2AH%29%2F4%28pi%29%29%5E%281%2F3%29\" Now multiply by 2 to get the diameter.
\n" ); document.write( "\"D+=+2%28%283L%2AW%2AH%29%2F4%28pi%29%29%5E%281%2F3%29\" Simplify.
\n" ); document.write( "\"D+=+%28%286L%2AW%2AH%29%2F%28pi%29%29%5E%281%2F3%29\"
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