Connecting Volumes of Cones and Cylinders Using Visual Models
Skill:
Use models to investigate the relationship of the volume of a cone to a cylinder and a pyramid to a prism with the same base and height.
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Connecting Volumes of Cones and Cylinders Using Visual Models
Discover the relationship between the volume of cones and volume of cylinders in this activity.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
As you change the base and height, what is the same between the cylinder and the cone?
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Open-ended question 2
As you change the base and height, what is different between the cylinder and cone?
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Open-ended question 3
If you divide the volume of a cone with the volume of a cylinder with the same base and height, what is the result?
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Open-ended question 4
Would 3 cones fit evenly into a cylinder of the same base and height? Why or why not?
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