1. The Mystery Bottle

2. The Basic Idea
Add a certain volume of water to a container measure how much the height increases.

3. I’ve collected data for 3 bottles

4. Task 1 Graph Total Volume vs. Height for each of the bottles
Figure out what the slope of a Total Volume vs. Height graph means

5. The graph for a beaker

6. The graph for a flask

7. The graph for a funnel

8. What is the shape of this container?

9. How about this one?

10. And this guy?

11. Is this container possible?

12. What Does The Slope Mean?
The slope is the reciprocal of the area of the bottle

13. What is the cross sectional area of this container?

14. What is the cross sectional area of this container?

15. What is the cross sectional area of this container?

16. The mystery bottle

17. Sketch the shape of the bottle

18. Create a model of the Mystery Bottle!!!
Given the data and the formula for area come up with a way to calculate the radius for each data point.
Come up with a graph of the Bottle Radius vs. Height

19. Given To Us The Collected Data
We can assume that the bottle has a circular circumference.

20. Possible Solutions

21. Sweet Fancy Moses! The Error is Increasing

22. Which volume to use?
Volume Added
Total Added

23. Which height to use?
Volume Added
Total Added

24. Which height to use?
Volume Added
Total Added

25. Just how do you get h?
height