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What is the difference between cone and cylinder?
A cylinder has two bases that are circles but a cone only has one base then a vertex.
If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
What are conics?
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.
If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?
If I understand your description correctly, a line.
What is the coefficient of the squared term in the parabola's equation when the vertex is at 3 5 and the point -1 6 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (3, 5), and a point on it is (-1, 6) → 6 = a(-1 - 3)² + 5 → 6 = a(-4)² + 5 → 1 = 16a → a = 1/16 → The coefficient of the x² term is 1/16
Why does a cone have 1 vertex?
A cone only has 1 vertex because it only has one point where it connects. (vertex=a point)
Does a cone have one vertex?
Yes, a cone has 1 vertex. Where? At the bottom where it connects at the point.
What is the other name for vertex of a cone?
You could call the vertex, the apex, the tip, or the point of the cone.
Why one a cone have one vertex?
a vertex is a line to a point
How many vertex the cone have?
A vertex is a point, so one.
Where is the vertex on a cone?
It is the tip or point.
What is the point at the end of the cone called?
An Apex or Vertex of the cone
Does a cone have vertex?
Yes, the point on the cone is a vertex.Typical math textbooks define a cone as "A solid figure with one circular face and one vertex." So yes, there is one vertex.
Is the point of a cone called vertex?
Yes.
What point on a cone is a vertex?
Because in math the definition for vertex is !the point of a geometric figure that is opposite the base. So in this case, the point is the vertex.
What has one circular face and a curved surface that comes to a point called the vertex?
it is a three dimensional cone , the circle is the edge of the figure and the curved side is the body of the cone, the vertex is the point of the cone
Can the top of a cone be called something besides vertex?
A cone does not have a vertex. A vertex is defined as a point where two lines meet; a triangle has three vertices, and the angular face of a pyramid has a vertex. However, a cone is a three-dimensional figure and has a curved surface. The base of a cone is circular. The top of the cone is a single point called the apex of the cone.
