14. Find the volume of water in the can

An object in the form of a cone surmounted on a hemisphere is immersed in a cylindrical can containing water. The base radius of the cone is 3.1 \(cm\), and the height of the conical part is \(6.6\) \(cm\). If the can be designed in such a way that the object exactly fits in it, then find the volume of water remaining in the can.

 

Answer:

 

The volume of water remaining in the can \(=\) .

 

[Note: Enter the answer rounded to two decimal places.]