Question

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Identify the shape of a cross section of the cone below.

Answer 1

Answer:

A cross section of a cone, depending on how it's cut, could result in different shapes:

If a cone is cut parallel to the base, the resulting cross section is a circle. This is because you are cutting across the round part of the cone, resulting in a smaller round shape.

If a cone is cut vertically from the vertex (tip of the cone) down through to the base, the resulting cross section is a triangle. This is due to the conical shape tapering from the base to the vertex.

So the cross-sectional shape of a cone can either be a circle (if cut parallel to the base) or a triangle (if cut vertically through the vertex to the base). When a cone is sliced parallel to its base, the resulting cross-section is a circle. This is because you're slicing through the round part of the cone, resulting in a circular shape. The size of the circle depends on how far up the cone the cut is made. The closer to the base, the larger the circle, and the closer to the tip, the smaller the circle.

Answer 2

Answer:

Circle

Step-by-step explanation:

A cross section of a three-dimensional solid object is the two-dimensional shape that is obtained when the solid object is intersected by a plane.  

Cross sections are usually parallel to the base, but can be in any direction depending on the orientation of the cutting plane and the shape of the three-dimensional object.

The cross section of a cone that is parallel to the base is a CIRCLE.

The common cross sections of a cone, depending on the orientation and position of the cutting plane, are:

• Circle: When the cutting plane is parallel to the base of the cone. (Attachment 1).

• Ellipse: When the cutting plane is at an angle to the base but does not intersect the apex or the base of the cone. (Attachment 2).

• Parabola: When the cutting plane intersects the base but does not pass through the apex of the cone. (Attachments 3 & 4).

• Triangle: When the cutting plane intersects the base and passes through the apex of the cone. (Attachment 5).