document.write( "Question 1154286: HI
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\n" ); document.write( "The cochlea is a coiled cylindrical tube that forms the auditory portion of the ear. A cochlear tube with a radius of 4.05 mm occupies 1.40 cm3, what is the length of the coiled tube inside the ear? Round your answer to 3 significant digits.\r
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Algebra.Com's Answer #776703 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The cochlea is a coiled \"cylindrical\" tube, so you need formula of volume of cylinder:\r
\n" ); document.write( "\n" ); document.write( "\"V=+pi%2Ar%5E2%2Ah+\"where \"r\" is a radius and \"h\" is height (in your case length )\r
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\n" ); document.write( "\n" ); document.write( "if a cochlear tube has a radius of \"r=4.05mm\" and occupies \"V=1.40cm%5E3\", \r
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\n" ); document.write( "\n" ); document.write( "\"1.40cm%5E3=+pi%284.05mm%29%5E2%2Ah+\"......convert \"cm%5E3+\"to \"mm%5E3\": \"1cm%5E3=1000mm%5E3\"=>1.40cm^3= 1.40*1000mm^3=1400mm^3\r
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\n" ); document.write( "\n" ); document.write( "\"h=1400mm%5E3%2F%28pi%2816.4025mm%5E2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=1400mm%2F%28pi%2816.4025%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"h=1400mm%2F51.52997350050658\"\r
\n" ); document.write( "\n" ); document.write( "\"h=27.169mm\"=>the length of the coiled tube inside the ear\r
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