Filling process of a cone (2)

A cone with radius  and height  is filled with a constant filling speed . In the applet, the corresponding parameters can be changed using the slider.

1. By choosing the parameters  and  appropriately, the functions  and  intersect. Interpret the intersection of the two functions in the given context.

2. What effect does a change of the parameter have on the function ?

3. Generally consider the volume of a cone. How does the volume change when you double the

radius? Find it out with the applet.