SOLUTION: A closed cylindrical tank is 8 feet long and 3feet in diameter. When lying in a horizontal position, the water is 2 feet deep. If the tank is in the vertical position, the depth

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Question 1198022: A closed cylindrical tank is 8 feet long and 3feet in
diameter. When lying in a horizontal position, the water
is 2 feet deep. If the tank is in the vertical position, the
depth of water in the tank is?

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

The height relative to the 8ft length will be in the same proportion as the area of the 'filled' portion of the cross-sectional (circle) area while horizontal.
The part that is filled is a segment of the circle, plus two right triangles that fill in the 'wedge'


So the height when the cylinder is vertical is:
+%285.006+%2F+7.0686%29%2A+8ft+=+highlight%285.666%29ft+
Sorry for the scattered format, all the information is there... There may be more optimal ways to compute the answer.