Glass is designed in the way a cone has a hemispherical depression in it. The radius of the cone is 2.8 \(cm\), and the height of the conical part is \(14.7\) \(cm\). Find the actual capacity of the glass. [Note: Use \(\pi = \frac{22}{7}\)].
The actual capacity of the glass \(=\) __________ \(cm^3\).