document.write( "Question 1132645: Hello!\r
\n" ); document.write( "\n" ); document.write( "The problem I have is that I need to \"find the volume of a cone slant height of which is nine times the radius and the height of 12√5 units.\"\r
\n" ); document.write( "\n" ); document.write( "Either I am not sure how to write the answer, or I don't understand what is being asked, or I am doing it wrong. I tried 2880π√(5), and 4π√(5)r^2, but neither of those worked.\r
\n" ); document.write( "\n" ); document.write( "Thanks for helping!
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Algebra.Com's Answer #749738 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "slant height \"s=9r+\"\r
\n" ); document.write( "\n" ); document.write( "the height \"h=12sqrt%285%29\"\r
\n" ); document.write( "\n" ); document.write( "\"V=%28pir%5E2%2Ah%29%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "from right triangle, slant height is hypotenuse, the radius and the height are legs\r
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\n" ); document.write( "\n" ); document.write( "\"r=sqrt%28s%5E2-h%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=sqrt%28%289r%29%5E2-%2812sqrt%285%29%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=sqrt%2881r%5E2-144%285%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=sqrt%2881r%5E2-720%29\".....square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2=81r%5E2-720\"\r
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\n" ); document.write( "\n" ); document.write( "\"720=81r%5E2-r%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"720=80r%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2=720%2F80\"\r
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\n" ); document.write( "\n" ); document.write( "\"r%5E2=9\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=3\"\r
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\n" ); document.write( "\n" ); document.write( "=>slant height \"s=9r=9%2A3=27+\"\r
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\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"V=%28pi%2A3%5E2%2A12sqrt%285%29%29%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=%28pi%2A3%5Ecross%282%29%2A12sqrt%285%29%29%2Fcross%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=+pi%2A3%2A12sqrt%285%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"V=+pi%2A36sqrt%285%29\"-> exact solution\r
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\n" ); document.write( "\n" ); document.write( "approximately:\r
\n" ); document.write( "\n" ); document.write( "\"V=+252.89\"\r
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