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Filling process of a cone (1)

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. Describe briefly how the function  can be associated with the animated cone (what

do you recognize by the animation?).

2. Change the radius . What effects does the change have on the function ?

3. Change the filling speed . What effect does the change have on the function ?

4. Explain why the function can not increase linearly.

5. How can one interpret the first derivative of the function in this context?