The treasure chest in the form of half cylinder surmounted on a cuboid of dimension 21 \(cm\) \(\times\) 22 \(cm\) \(\times\) 35 \(cm\). The cylindrical part is of radius 11 \(cm\) and height 21 \(cm\). Find the capacity of the chest. [Note: Take \(\pi = \frac{22}{7}\)].

The capacity of the treasure chest \(=\) ___________ \(cm^3\)
Reference:
https://pixabay.com/vectors/chest-brown-wooden-box-glossy-150392/