document.write( "Question 100565: a water tank in the shape of a cone holds 100 cubic feet of water and has a diameter of 6 feet. estimate its height \n" ); document.write( "
Algebra.Com's Answer #73219 by Edwin McCravy(20056)\"\" \"About 
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a water tank in the shape of a cone holds 100 cubic feet of water and has a diameter of 6 feet. estimate its height
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\n" ); document.write( "The volume of a cone is given by the formula:\r
\n" ); document.write( "\n" ); document.write( "\"V\" = \"1%2F3\"\"pi\"\"r%5E2h\"\r
\n" ); document.write( "\n" ); document.write( "So we substitute \"100\" cubic feet for \"V\",\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "since the diameter is \"6\" feet, the radius, \"r\", is half
\n" ); document.write( "the diameter, or \"3\" feet. So we substitute \"3\" feet
\n" ); document.write( "for the radius \"r\".\r
\n" ); document.write( "\n" ); document.write( "\"V\" = \"1%2F3\"\"pi\"\"r%5E2h\"\r
\n" ); document.write( "\n" ); document.write( "\"100\" = \"1%2F3\"\"pi\"\"%283%5E2%29h\"\r
\n" ); document.write( "\n" ); document.write( "\"100\" = \"1%2F3\"\"pi%289%29h\"\r
\n" ); document.write( "\n" ); document.write( "\"100\" = \"1%2F3\"\"9pi%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "Since \"1%2F3\" of \"9\" is \"3\",\r
\n" ); document.write( "\n" ); document.write( "\"100\" = \"3pi%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "Divide both sides by \"3pi\"\r
\n" ); document.write( "\n" ); document.write( "\"100%2F%283pi%29\" = \"%283pi%2Ah%29%2F%283pi%29\"\r
\n" ); document.write( "\n" ); document.write( "\"100%2F%283pi%29\" = \"h\"\r
\n" ); document.write( "\n" ); document.write( "\"10.61032954\" = \"h\"\r
\n" ); document.write( "\n" ); document.write( "or the height is approximately \"10.6\" feet\r
\n" ); document.write( "\n" ); document.write( "Edwin
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