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 4 \(cm\), and the height of the conical part is \(3.3\) \(cm\). 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.]