No, plane geometric figures are ones like triangles and circles that can fit completely in the plane. A cylinder needs 3, not 3 dimensions and will not fit in the plane.
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A cylinder.
The geometric shape for a pen is a cylinder.
A cylinder.
A sphere intersected by a plane, An circular ellipsoid intersected by a plane, A cylinder, A cone, and many more shapes, some of which don't even have a name!
3-D a circle on each end