Whats In The Bag Adapted from Dr Margaret

What’s In The Bag Adapted from Dr. Margaret Niess

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

Task 1 Get data to graph Total Volume vs. Height for a bottle with a constant circumference ¢ Get data to graph Total Volume vs. Height for a bottle with a changing circumference ¢ Figure out what the slope of a Total Volume vs. Height graph means ¢

Check Out The Cool Drawings

What would be the graph for a beaker?

What would be the graph for a flask?

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

And now for something completely different

See if you can estimate the shape of the bottle

Task 2: See if you can eyeball the shape of the bottle

Task 3: Graph the bottle Given the data and the formula for area come up with a way to calculate the radius for each data point. ¢ See if any unit conversions are needed ¢ Come up with a graph of the Bottle Radius vs. Height ¢

Given To Us ¢ ¢ Some Collected Data We can assume that the bottle has a circular circumference. Areacircle = r 2 Volume = Areacircle *height

The Data m. L of H 2 O Added Total Volume Height of Water Column (cm) 0 0 0. 00 30 30 0. 40 30 60 0. 85 30 90 1. 35 30 120 1. 95 30 150 2. 68 30 180 3. 55 30 210 4. 80 30 240 7. 80 30 270 8. 984981645 30 300 9. 91538457 30 330 10. 65970691 30 360 11. 47846148 30 390 12. 44608053 10 400 15 10 410 16 10 420 17 5 425 19 5 430 21

Volume area height radius