Don't Spill it!

Geometry Level 4

A cylindrical glass of radius 3 is filled with water until its height reaches 11, as shown above left.

Now, if the cylinder is tilted such that it forms an angle of θ\theta with the ground with cosθ=45\cos \theta = \frac{4}{5}, what is the new height hh?


Clarification: The cylinder is so long that no water spills over.

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