Does a cone cut from a sphere have a name?

In summary, the conversation discussed a question about the name of a cone with a spherical shape, where the broad end follows the surface of a sphere and is centered at the cone's point. The suggested name for this type of cone was a spherical cone or a hypercone. A simple example of a spherical cone was also provided.
  • #1
Grimble
485
11
A very basic question: does such a cone, where the broad end is not cut flat but follows the surface of the sphere whose radius is the length of the cone's side, and is centred at the cone's point, have a name?
 
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  • #2
Are you thinking of a spherical cone?
 
  • #3
Grimble said:
A very basic question: does such a cone, where the broad end is not cut flat but follows the surface of the sphere whose radius is the length of the cone's side, and is centred at the cone's point, have a name?

Doc Al said:
Are you thinking of a spherical cone?

Is this what you mean... AKA a hypercone ?
 
  • #4
Here's a simple spherical cone:
SphericalCone_1000.gif
 
  • #5
Thank you, that is exactly what I was meaning. :)
 

Related to Does a cone cut from a sphere have a name?

1. What is a cone cut from a sphere?

A cone cut from a sphere is a shape formed by slicing a cone from a sphere. This results in a circular base and a curved surface that tapers to a point.

2. Does a cone cut from a sphere have a specific name?

Yes, it is called a spherical cone or a conical frustum. It is also sometimes referred to as a spherical segment.

3. How is a cone cut from a sphere different from a regular cone?

A cone cut from a sphere has a circular base, whereas a regular cone has a polygonal base. The curved surface of a cone cut from a sphere is also a section of a sphere, while a regular cone has a curved surface that is a section of a cone.

4. What are the properties of a cone cut from a sphere?

A cone cut from a sphere has two circular bases with radii that are equal to the radius of the sphere. It also has a curved surface that is a section of a sphere with a specific height and lateral surface area.

5. What are the applications of a cone cut from a sphere?

Spherical cones are commonly used in architecture and design for creating unique shapes and structures. They are also used in mathematics and geometry for calculating surface area and volume. In addition, they have practical applications in engineering and construction for creating conical structures with circular bases.

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