A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a circle. Which of the following solids could have resulted in that cross section?

Answer 1

Several three-dimensional solids can result in a circular cross-section when cut by a plane that is parallel to their bases. The solids that can produce a circular cross-section under such conditions include:

1. Cylinder: A right circular cylinder will produce a circular cross-section when cut parallel to its base.

2. Cone: A right circular cone results in a circular cross-section when it is cut by a plane parallel to its base.

3. Sphere: Cutting a sphere with a plane parallel to its equator will also yield a circular cross-section.

4. Elliptical Cylinder: Although it produces an elliptical cross-section generally, it can produce a circular section if cut through a circular base.

Among traditional solids, the most common ones that produce a circular cross-section would be a Cylinder (including both right and oblique) and a Cone.

If your question is asking for a specific solid or category of solids, you would typically refer to any of the above-listed shapes.