document.write( "Question 189566: Hello. My husband and I are trying to figure out how many cord of wood we have just split. It's piled into a cone area with a base area of 19' across and 8' high. Approximately how many cord do we have???\r
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\n" ); document.write( "Joanna
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Algebra.Com's Answer #142245 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Note: a cord of wood is defined to be 4 feet high by 4 feet wide by 8 feet long which gives a volume of \"4%2A4%2A8=128\" cubic feet.\r
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\n" ); document.write( "\n" ); document.write( "I'm assuming that the cone has a base diameter of 19'. Or is the base area 19 square feet? If the base has a diameter of 19', this would then mean that the base radius is 9.5'. So \"r=9.5\" (if the assumption is correct). \r
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\n" ); document.write( "\n" ); document.write( "What you want to do first is find the volume of the cone\r
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\n" ); document.write( "\n" ); document.write( "\"V=%281%2F3%29pi%2Ar%5E2%2Ah\" Start with the volume of a cone equation.\r
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\n" ); document.write( "\n" ); document.write( "\"V=%281%2F3%29%283.14%29%289.5%29%5E2%288%29\" Plug in \"r=9.5\" and \"h=8\". Also, replace \"pi\" with 3.14\r
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\n" ); document.write( "\n" ); document.write( "\"V=%281%2F3%29%283.14%29%2890.25%29%288%29\" Square 9.5 to get 90.25\r
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\n" ); document.write( "\n" ); document.write( "\"V=2267.08%2F3\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"V=755.693\" Divide\r
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\n" ); document.write( "\n" ); document.write( "So the volume of the cone is approximately 755.693 cubic feet.\r
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\n" ); document.write( "\n" ); document.write( "Now take the volume of the cone and divide it into the volume of one cord of wood to get\r
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\n" ); document.write( "\n" ); document.write( "\"755.693%2F128=5.904\"\r
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\n" ); document.write( "\n" ); document.write( "So there are about 5 full cords (almost 6) of wood in that pile.
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