15. Find the volume of lumber wasted

An object in the form of a cone surmounted on a hemisphere of maximum size is made from a wooden log. The base radius of the cone is 3.7 \(cm\), and the height of the conical part is \(6.6\) \(cm\). Find the volume of lumber that has been wasted.

Answer:

 

The volume of lumber that is wasted \(=\)  \(cm^3\).

 

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