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Ellipse * * * * * At right angles to the length, it would be a circle. Along the length it would be a rectangle. Only a diagonal cross section would be an ellipse.
A rectangular prism has a rectangular cross section whereas a cylinder has a circular cross section
A cylinder has a circular cross section, a square prism has a square cross section.
A circle, ellipse, truncated ellipse or rectangle - depending on the inclination of the cross section relative to the cylinder.
The radius of a cylinder is half the thickness of its circular cross section.