# 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 $$\theta$$ with the ground with $$\cos \theta = \frac{4}{5}$$, what is the new height $$h$$?


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

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