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

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

Here’s the data collected from the bottle mL of H2O AddedTotal VolumeHeight of Water Column (cm)

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’s Radius vs. Height

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

The Data mL of H2O AddedTotal VolumeHeight of Water Column (cm)

height radius area Volume

Here’s What I Did

Which volume to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Which height to use? Volume Added Total Added

Just how do you get h? height

Check unit conversions

Here’s What I Did Height difference was calculated by subtracting the current liquid height from the previous one. Height Difference (cm)Width of Glass

Here’s What I Did mL of H2O AddedTotal Volume Height of Water Column (cm) Height Difference (cm)Width of Bottle