document.write( "Question 1135910: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Calculate the ratio of the volume of the cone to the volume of the hemisphere. \n" ); document.write( "
Algebra.Com's Answer #753612 by ikleyn(52784)\"\" \"About 
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document.write( "The hemisphere of the radius \"r\" has the volume\r\n" );
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document.write( "    \"V%5Bhs%5D\" = \"%281%2F2%29%2A%284%2F3%29%2Api%2Ar%5E3\".\r\n" );
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document.write( "The cone of the base radius \"r\" and the height \"r\" has the volume\r\n" );
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document.write( "    \"V%5Bcone%5D\" = \"%281%2F3%29%2Api%2Ar%5E2%2Ar\" = \"%281%2F3%29%2Api%2Ar%5E3\".\r\n" );
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document.write( "The ratio of the two volumes is   \"V%5Bcone%5D%2FV%5Bhs%5D\" = \"%28%281%2F3%29%29%2F%28%281%2F2%29%2A%284%2F3%29%29\" = \"%28%281%2F3%29%29%2F%28%282%2F3%29%29\" = \"1%2F2\".       ANSWER\r\n" );
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