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Assignment: Cylinders and Cones Investigation

Jeremy and Arnold were thinking about their recent math lessons on the volume of a cylinder and the volume of a cone. They were curious to see how many cones it would take to fill a cylinder. “Let’s just make the shapes and see for ourselves,” suggested Jeremy. While Arnold thought it was a good idea, he and Jeremy struggled to construct the shapes so that the radius and heights of each figure were the same. Will you help them in their investigation?

Part I: Construction
Nets for a cone and a cylinder are provided. Cut out each shape and secure the edges with a piece of tape.


Part II: Filling the Shapes
Fill the cone with a dry ingredient like rice or beans. Pour the contents of the cone into the cylinder. Repeat this process until the cylinder is full.



Part III Observations
Use at least two module vocabulary words in your responses.

a. How many cones does it take to fill the cylinder?


b. Write the formulas for the volume of each shape.


Vcyl = _______________ Vcone = _______________


c. Explain the relationship between the volume of the cylinder and the volume of the cone.