Glass is designed in the form of a cone with a hemispherical depression in it. The radius of the cone is 3.4 \(cm\), and the height of the conical part is \(14.1\) \(cm\). If ice cubes of edge 0.9 \(cm\) are dropped in the glass, then find the volume of juice that can be filled in the glass.
 
Answer:
 
The volume of juice that can be filled in the glass \(=\)  \(cm^3\).
 
[Note: Enter the answer rounded to two decimal places.]