document.write( "Question 1205486: A cone is half full in volume, how deep is the water in the cone if it is 12cm in diameter at the top and the total height of the cone is 16cm. \n" ); document.write( "

Algebra.Com's Answer #842328 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "OH CRAP!  I misread and thought the container was 12 cm high instead\r\n" );
document.write( "of 16. So I'll let another tutor do it.  Maybe I'll come back and redo \r\n" );
document.write( "it later.\r\n" );
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document.write( "The volume of a cone is \r\n" );
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document.write( "The radius of the top of the container is 6, since it is\r\n" );
document.write( "half the diameter, 12.\r\n" );
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document.write( "The volume of the whole cone container = \r\n" );
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document.write( "Let the radius of the cone of water = x\r\n" );
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document.write( "Since the height of the cone container is twice the radius, that\r\n" );
document.write( "will be true for the cone of water, so the height if the cone of\r\n" );
document.write( "water will be twice x, or 2x.\r\n" );
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document.write( "The volume of the cone of water = \r\n" );
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document.write( "Since the volume of the cone of water is half the volume of the cone\r\n" );
document.write( "container, the former equals twice the latter: \r\n" );
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document.write( "Divide both sides by 4\r\n" );
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document.write( "I'm not sure what you mean by \"how deep is the water?\"\r\n" );
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document.write( "If it's the height of the cone of water it's = 2x = 9.524406312 cm.\r\n" );
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document.write( "If it's distance from the top of the container to the top\r\n" );
document.write( "of the water it's 12 - 9.524406312 = 2.475593688 cm.\r\n" );
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document.write( "Round off as you were told.\r\n" );
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document.write( "Edwin

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