Q: Are all cylinders with the same radii similar?

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Yes. All radii of the same circle have the same length.

Yes, providing that the radii are all in the same circle

They must have all angles which are the same, all of whose straight lines are in the same ratio and whose curves have radii of curvature in the same ratio.

Yes, within the same circle

Yes.

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No they have different heights and radii.

no. not all cylinders are similar, some may even be slanted

Yes. All radii of the same circle have the same length.

Yes, providing that the radii are all in the same circle

They must have all angles which are the same, all of whose straight lines are in the same ratio and whose curves have radii of curvature in the same ratio.

yes

Yes, all radii of a circle have the same length. One often thinks of the radius as being this length.

Yes, within the same circle

yes

Yes providing that they are in the same circle

Yes in a particular circle

Yes, all radii of a given circle have the same length. A circle is defined as all the points on a plane that have a specified distance from a given point, called the center. Any segment from the center to the circle is called a radius (plural radii). Thus, by definition, all such segments (all radii) have the same length.