The Mystery Bottle

1
The Mystery Bottle
2
The Basic Idea

• Add a certain volume of water to a container
  measure how much the height increases.

3
Ive 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 theMystery 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
26
(No Transcript)
27
(No Transcript)
28
(No Transcript)
29
(No Transcript)