Observe the cone. Move the height of the water up and down. Reflect upon the following questions as you observe:[list][*]How is the volume changing as the height of the water changes?[/*][*]Will the volume change faster when the height is smaller or bigger? Why?[/*][*]If you graphed height v. volume what would the graph look like?[/*][/list]
Now observe the graph being drawn as you change the height:[br][list][*]Is this what you expected the graph to look like?[/*][*]Why is the volume growing less at the beginning and more at the end?[/*][/list]
Describe the covariation between height and volume based on the graph. What does it mean for two values to covary?