Does a cone cut from a sphere have a name?

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Grimble
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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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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 ?
 
Here's a simple spherical cone:
SphericalCone_1000.gif