Right Circular Cone Basics

Right Circular Cone Basics

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The following figure shows an example of a right circular cone:

Circular cross-section of cone

Note that the cross section of this cone is circular. This means that if you cut the cone anywhere with a horizontal plane, you will get a circular cross-section:

Cross-section of cone is circle

Also, the axis of the cone is perpendicular to the base, and hence it is right:

Cone's axis perpendicular to base

The following figure shows a cone which is right but not circular (the cross-section is elliptical):

Cone's cross-section is elliptical

The figure below shows a cone which is circular but not right (the axis is not perpendicular to the base):

Cone's axis not perpendicular to base

From now on, we will discuss only right circular cones, and we will refer to them as simply cones. The dimensions of a cone can be specified by two parameters: the radius \(r\)of the base or the flat surface, and the height \(h\) of the cone, as shown below.

Radius, height of right circular cone

What is the formula for TSA of a circular cone?

  • The formula for the total surface area of a right cone is T.S.A=πrl+πr^2 .

What is a right circular cone?

  • A right circular cone is a cone whose base is a circle and whose axis is perpendicular to the base. Such a cone can also be described as a solid formed by a right triangle rotated about one of its sides as an axis.

What is the difference between right circular cone and cone?

  • A right circular cone is a circular cone whose altitude intersects the plane of the circle at the circle's center. ... The only difference is the base--a pyramid is a cone with a polygonal base.

How do you find the volume of a right circular cone?

  • The volume V of a cone with radius r is one-third the area of the base B times the height h

How do you find the radius of a right circular cone?

  • A radius is the distance from the circle's middle to its perimeter, which is known as its circumference. The radius of a cone is the radius of its circular base. You can find a radius through its volume and height. Multiply the volume by 3.
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