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Apply Cavalieri’s Principle To Spheres

True or False?

Two spheres with different volumes and different radii will have different volumes according to Cavalieri's principle if their cross-sectional areas are different at every height.

True or false?

For two spheres with different radii and the same volume, Cavalieri's principle implies they have different cross-sectional areas at every height.

True or False?

If two spheres have different volumes and the same radius, Cavalieri's principle implies they have different cross-sectional areas at every height.

True or False?

 If two spheres have different volumes and different radii, Cavalieri's principle implies they have the same volume.


True or False?

 According to Cavalieri's principle, two spheres with different radii and different volumes will have the same volume.


True or False?

According to Cavalieri's principle, two spheres with the same volume and different radii will have different cross-sectional areas at every height.

True or False?

 According to Cavalieri's principle, if two spheres have the same volume and different radii, their cross-sectional areas at every height are different.

 

True or False?

 According to Cavalieri's principle, two spheres with the same volume and the same radius will have the same volume.


True or False?

Two spheres with the same volume and the same radius will have different volumes according to Cavalieri's principle.


True or False?

If two spheres with the same radius have different volumes, Cavalieri's principle implies they have different radii.