document.write( "Question 1046258: A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe.\r
\n" ); document.write( "\n" ); document.write( "Description of pipe:\r
\n" ); document.write( "\n" ); document.write( "Diameter: 3/4 in.\r
\n" ); document.write( "\n" ); document.write( "Thickness: 1/8 in.\r
\n" ); document.write( "\n" ); document.write( "Lead weighs 2/3 lbs. per cu. in.\r
\n" ); document.write( "\n" ); document.write( "Let l = length.\r
\n" ); document.write( "\n" ); document.write( "Unsure how to proceed.\r
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Algebra.Com's Answer #661738 by ikleyn(52866)\"\" \"About 
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\n" ); document.write( "A length of pipe is to be made from 100 lbs. of lead. Determine length of pipe.\r
\n" ); document.write( "\n" ); document.write( "Description of pipe:\r
\n" ); document.write( "\n" ); document.write( "Diameter: 3/4 in.\r
\n" ); document.write( "\n" ); document.write( "Thickness: 1/8 in.\r
\n" ); document.write( "\n" ); document.write( "Lead weighs 2/3 lbs. per cu. in.\r
\n" ); document.write( "\n" ); document.write( "Let l = length.\r
\n" ); document.write( "\n" ); document.write( "Unsure how to proceed.
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document.write( "1.  From one side, the volume of lead is  V = \"100%2F%28%282%2F3%29%29\" = \"300%2F2\" = 150 cubic inches.\r\n" );
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document.write( "2.  From the other side, the volume of the solid body which is formed by the wall of the pipe, is \r\n" );
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document.write( "    V = \"pi%2A%28D%2F2%29%5E2%2AL\" - \"pi%2A%28d%2F2%29%5E2%2AL\",  \r\n" );
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document.write( "      where D = \"3%2F4\" in is the outer diameter,  d = \"3%2F4+-+2%2A%281%2F8%29\" = \"3%2F4+-+1%2F4\" = \"2%2F4\" = \"1%2F2\" in is the inner diameter.\r\n" );
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document.write( "    So,  V = \"%28%28pi%2AL%29%2F4%29%2A%28%283%2F4%29%5E2-%282%2F4%29%5E2%29\" \r\n" );
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document.write( "           = \"%28%28pi%2AL%29%2F4%29%2A%289%2F16-4%2F16%29\" = \"%28%28pi%2AL%29%2F4%29%2A%285%2F16%29\" = \"pi%2AL%2A%285%2F64%29\".\r\n" );
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document.write( "3.  Therefore, you have an equation\r\n" );
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document.write( "    \"pi%2AL%2A%285%2F64%29\" = 150.\r\n" );
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document.write( "    Solve it for L, the tube length:\r\n" );
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document.write( "    L = \"%28150%2A64%29%2F%28pi%2A5%29\" = \"%2830%2A64%29%2Fpi\" = 611.46 inches.\r\n" );
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document.write( "Answer.  611.46 inches.\r\n" );
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