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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
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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 Does The Slope Mean The slope is the reciprocal of the area 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 = r2 • Volume = Areacircle *height
Volume area radius height