The Right Circular Cone | Properties of Cone

What is Cone?

A cone is a three dimension solid object that has a circular base joined to point by a curved side and one vertex. Here, you will learn The Right Circular Cone | Properties of Cone.

Type of Cone:

There is two type of cone:
1. Right Circular Cone
2. Oblique Cone

Oblique Cone

A cone which has a circular base but the axis of the cone is not perpendicular with the base, is called an Oblique cone.

Right Circular Cone

A right circular cone is a solid generated by the revolution of a right-angled triangle about one of the side containing the right angel.

The Right Circular Cone

Slant height of a right circular cone is the distance of its vertex from any point on the circumference of the base i.e l is slant height.

If r, h and l is denoted radius, height and slant height of right Circular Cone then:

r2+h2=l2

Volume of Right Circular Cone

The volume of the right circular cone is equal to one-third the product of the base area and the height.

V=13 x (π × r2 x b x h

Volume = 13πr2h

Curved surface Area= πrl

Total surface Area= πr(r + l)

Properties of Right Circular Cone

• All elements of a right circular cone are equal.
• A section of a right circular cone that contains the vertex and two points of the base is an isosceles triangle.
• A right circular cone is a circular cone whose axis is perpendicular to its base.
• A cone has only one face, which is the circular base but no edges or vertices.
• A cone has only a vertex point.

Frustum of a Cone

If a one is cut by a plane parallel to the base of the cone then the portion between the pane and base is known as Frustum of a Cone.

Cone, Frustum of cone

Slant height l2 = h2 + (R-r)2

Volume = πh3(R2 + r2 + Rr)

Curved surface Area= πl(R + r)

Total surface Area= π(R2 + r2 + l(R + r))

I hope, this article will help you lot to understand the The Right Circular Cone | Properties of Cone , & in solving various problems related to this article, if you still have any doubts related to this article, you can ask it into the comment section. If you have any problem in any topic of mathematics you can post your problem in the comment section. You will get a reply shortly.

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Sphere | Hemisphere | Properties Of Sphere
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Quadrilateral | Types of Quadrilateral | Properties of each Quadrilateral

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