How does the volume of a cone vary with the radius of its circular base?
How does the volume of a cone vary with its altitude?
Drag the RED and/or GREEN slider in the left panel to explore these questions.
For a given altitude - does the volume of the cone depend on whether the apex is directly over the center of the base? Why or why not?
What could the units on the axes of the graph be?
What problems could/would you pose to your students based on this applet?