# Glass of juice

Glass of juice shaped cylinder 16 cm height and base diameter of 7 cm is filled with juice so that the level is 4 cm below the rim of the glass. Determine the maximum angle of the cup can be tilted and juice don't overflow.

Correct result:

α =  48.8 °

#### Solution:

$\alpha =arctan\left(\frac{2\cdot 4}{7}\right)=48.{8}^{\circ }$

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