# If a cone is divided in a plane parallel to its base, are the surfaces produced by the cut the same or different in size?

The answer to the main question is that the surfaces (circles) are the same size. This is a direct consequence of a plane having (by definition) zero thickness. Thus, only one surface (circle) is (mathematically) created.

## When a cone is cut by a section plane which is parallel to its base then the true shape of the section?

Explanation: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola.

## When the plane is parallel to the base of the cone?

The base of the cone is a circle. So, a plane parallel to the base will give across section of a circle.

## When a pyramid or a cone is cut by a plane parallel to its base does removing the top portion the remaining portion is called?

(7) Frustum of Solid: When a Pyramid or a Cone is cut by a Plane parallel to its base, thus removing the top portion, the remaining lower portion is called its frustum.

## Which of the following will be formed when a cone is cut by a plane parallel to its base?

A circle is formed when a plane cuts the cone parallel to the base or perpendicular to the axis of the cone. The other three conics are formed when the cutting plane is no longer parallel to the base (or perpendicular to the axis). After the circle, the next conic section encountered in school is the ellipse.

## When cutting the plane and intersects one cone parallel to the base of the cone?

Conic sections – Ellipse

It is one of the four conic sections. (the others are an circle, parabola and hyperbola). In the above figure, there is a plane* that cuts through a cone. When the plane is parallel to the cone’s base, the intersection of the cone and plane is a circle.

## What conic section is formed from slicing parallel to the base of the cone *?

The circle

1. The circle. The circle is a closed figure formed by the intersection of the surface of a right-regular cone by a plane parallel to the base of the cone. A circle is actually just a special case of the ellipse, which we’ll get to below.

## When the plane cuts the cone parallel to the axis of the cone?

Explanation: When the plane cuts the cone at an angle parallel to the axis of the cone, then the resulting conic section is called as a hyperbola. If the plane cuts the cone at an angle with respect to the axis of the cone then the resulting conic sections are called as ellipse and parabola. 7.

## What conic is made when the cutting plane is parallel to the element producing an open curve?

parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

## When a plane intersects a cone at an angle that is parallel to the edge of the cone what shape is formed?

Hyperbola. A hyperbola is formed when the plane is parallel to the cone’s central axis, meaning it intersects both parts of the double cone.