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.

Result

α =  48.8 °

Solution:

α=arctan(2⋅47)=48.8∘\alpha = arctan( \dfrac{ 2 \cdot 4}{ 7}) = 48.8 ^\circ

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