document.write( "Question 144280: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give answer in terms of pi.
\n" ); document.write( "Find the volume of water. The volume is the area x length.
\n" ); document.write( "The area of the segment is:
\n" ); document.write( " $\"r%5E2arccos%28%28%28r-h%29%2Fr%29%29-%28r-h%29sqrt%282rh-h%5E2%29\"$
\n" ); document.write( "The values listed (using an Excel sheet I made) give a cross-sectional area of:
\n" ); document.write( "10.10963 sq ft
\n" ); document.write( "6 times that is: 60.657787 cubic ft\r
\n" ); document.write( "\n" ); document.write( "The volume of a \"vertical\" cylinder is $\"PIr%5E2h\"$ , in this case PIx4xh, so
\n" ); document.write( "h = Vol/4PI, which is 4.82699 feet. In terms of PI, it's 15.16445/PI
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Algebra.Com's Answer #105031 by Alan3354(69443) $\"\"$ $\"About$

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