IM 8.5.11 Lesson: Filling containers
These are drawings of three-dimensional objects. Which one doesn’t belong? Explain your reasoning.
Use the applet to investigate the height of water in the cylinder as a function of the water volume.
Before you get started, make a prediction about the shape of the graph.
Check Reset and set the radius and height of the graduated cylinder to values you choose. Let the cylinder fill with different amounts of water and record the data in the table.
Record the data in the table on the left. Create a graph that shows the height of the water in the cylinder as a function of the water volume.
Choose a point on the graph and explain its meaning in the context of the situation.
The graph shows the height vs. volume function of an unknown container.
What shape could this container have? Explain how you know.
Draw a possible container.
The graph shows the height vs. volume function of a different unknown container.
What shape could this container have? Explain how you know.
Draw a possible container.
How are the two containers similar?
How are they different?
The graph shows the height vs. volume function of an unknown container.
What shape could this container have? Explain how you know.