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Not sure what the question means, unless it is meant to refer to 3-dimensional shapes.

If so, some answers are:

a cylinder,

a cone,

a section of a sphere,

an ellipsoid with two equal axes intersected by a plane defined by those axes,

a symmetric paraboloid intersected by a plane perpendicular to its axis of symmetry,

a torus (doughnut) intersected by a plane perpendicular to its "main" radius.

Q: What dimensional shapes have circular faces?

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A polyhedron.

They are closed 3-dimensional shapes with polygonal faces.

A rhombus is a two dimensional figure while the concept of {faces, vertices and edges} is relevant to 3-dimensional shapes.

They are both 3 dimensional shapes with faces that are polygons.

Polyhedra (plural; singular = polyhedron)

Related questions

No, two dimensional shapes do not have faces

A polyhedron.

Bases are faces but faces are not necessarily bases.

No. A sphere is a three dimensional shape which has no polygonal faces. Similarly an ellipsoid, a torus, a paraboloid, hyperboloid etc are 3-D shapes with no polygonal faces.

Cylinder

a cone

triangular pyramaid

They are closed 3-dimensional shapes with polygonal faces.

A three dimensional shape bounded by plane (flat) faces is a polyhedron.

the answer really is 6there are 6 faces in a three-dimensional model

A rhombus is a two dimensional figure while the concept of {faces, vertices and edges} is relevant to 3-dimensional shapes.

They are both 3 dimensional shapes with faces that are polygons.