Tilted cylinder

zhiqiu

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[h=2]Tilted Cylinder[/h] A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base.

(a) Determine a way to "slice" the water into parallel rectangular cross-sections and then set up a definite integral for the volume of the water in the glass. Find the volume.


(b) Find the volume of water in the glass from purely geometric considerations.



I don't really know how to start on this problem, could someone help me out?

And What does it exactly mean by "purely geometric considerations"?




 
A cylindrical glass is uauall a right circular cylinder. You can you the formula you memorized some time ago to calculate its volume. This might be the prescribed geometric means.
 
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