Connecting Volumes of Cones and Cylinders Using Visual Models

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ExploraciónGRADOS 6-8

Habilidad:

Usar modelos para investigar la relación entre volumen de cono y cilindro, y entre volumen de pirámide y prisma, con iguales base y altura.

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.

Pregunta abierta 1

As you change the base and height, what is the same between the cylinder and the cone?

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Pregunta abierta 2

As you change the base and height, what is different between the cylinder and cone?

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Pregunta abierta 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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Pregunta abierta 4

Would 3 cones fit evenly into a cylinder of the same base and height? Why or why not?

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