document.write( "Question 891676: The volume of a cone having an inclined axis at an angle of 60 degrees with the base is equal to 1884.96 cu.m., find the length of the axis of the cone, if the radius at the base 10m. \n" ); document.write( "
Algebra.Com's Answer #539986 by Edwin McCravy(20056)\"\" \"About 
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The volume of a cone having an inclined axis at an angle of 60 degrees with the
\n" ); document.write( "base is equal to 1884.96 cu.m., find the length of the axis of the cone, if the
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document.write( "Let A be the axis of the red cone. The green cone has the same \r\n" );
document.write( "vertical height as the red slanted cone and has the same volume.\r\n" );
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document.write( "The volume of the green cone is\r\n" );
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document.write( "\"V=expr%281%2F3%29pi%2Ar%5E2h\"\r\n" );
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document.write( "\"1884.96=expr%281%2F3%29pi%2810%29%5E2h\"\r\n" );
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document.write( "\"1884.96%2F%28expr%281%2F3%29pi%2810%29%5E2%29=h\"\r\n" );
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document.write( "\"18.00004209=h\"\r\n" );
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document.write( "We'll just round that to 18m.\r\n" );
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document.write( "\"h%2FA=sin%28%2260%B0%22%29\"\r\n" );
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document.write( "\"18=Asin%28%2260%B0%22%29\"\r\n" );
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document.write( "\"18%2Fsin%28%2260%B0%22%29=A\"\r\n" );
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document.write( "\"20.78460969=A\"\r\n" );
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document.write( "So the axis is about 20.8 m\r\n" );
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document.write( "Edwin
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