Content code
m1240
Slug (identifier)
cones
Grades
Secondary III
Topic
Mathematics
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The cone is a solid with a curved surface. It can be in the form of a funnel or an hourglass since the latter is a superimposition of two cones.

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Cones are solids composed of a single circular base and a single lateral face in the form of a section of a circle whose single vertex is called the “apex”.

Title (level 2)
The Characteristics of a Cone
Title slug (identifier)
characteristics
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By carefully reading the definition of the cone, its main characteristics can be distinguished.

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  • The base is a circle

  • The apex is the only vertex of the cone

  • The apothem is the distance between the apex and some point located on the contour (circumference) of the base (not to be confused with the height of the cone)

  • The lateral face is a section of a circle that wraps around its base

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The following drawings illustrate the first three characteristics well. To learn more about the lateral face of a cone, consult the concept sheet on Developing and Drawing Cones.

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Cones
Title (level 2)
Right and Oblique Cones
Title slug (identifier)
right-and-oblique
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The apex will be used as a reference point to differentiate between these two types of cones.

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A right cone is a cone with an apex vertically aligned with the centre of the circular base.

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Thus, the resulting structure is much more solid. Some dwellings greatly resemble a right cone.

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However, it is not always easy to align the apex and the centre of the base vertically.

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An oblique cone is a cone with an apex that does not vertically align with the centre of the base.

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In other words, the top of the cone is "offset" from the center of the base. Given the risks of such a construction, its usefulness in everyday life is rather limited.

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In the previous example, the apex is shifted to the right relative to the centre of the base. The solid which serves as a waffle ice cream cone is a cone that is more or less an example of an oblique cone.

Title (level 2)
Exercises
Title slug (identifier)
exercises
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Title (level 3)
Jeu - La Foire
Title slug (identifier)
jeu-la-foire
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