Abstract  Introduction  Discourse  Interventions  Decisions  Cylinder Problem   - Elementary   - Middle School   - High School   - Calculus  Lesson Reflections  Student Predictions  Project Reflections  Conclusion  References  Acknowledgments  Teacher Resources Authors' Biographies Table of Contents VIDEO CLIPS: Internet access via modem may mean very long download times for video clips. If you are not on a fast line, you may want to read this paper without viewing the clips.

Directions:

Fold the 11" side of an 8.5" by 11" sheet of paper in half and cut the paper along the fold into two pieces, each measuring 5.5" by 8.5". Tape the two pieces together to form a rectangle 5.5" by 17". Repeat the process with another 8.5" by 11" sheet of paper. You should now have two rectangles, each 5.5" by 17".

Now roll these two rectangles into two different cylinders - one taller and narrower (17" high) and another shorter and stouter (5.5" high). Label the tall one E (17" high) and the short one F (5.5" high).

Do you think the two cylinders will hold the same amount? Or will one hold more than the other? If you think that one will hold more, which one will it be?

Record your predictions, with an explanation.

Place cylinder F on a cookie sheet with cylinder E inside it. Fill cylinder E. Slowly lift cylinder E so that the filler material falls into cylinder F.

1. Was your prediction correct?

2. Do the two cylinders hold the same amount?

3. Explain why or why not.

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