Curriculum
Course: Applied Mathematics — Second Secondary
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Curriculum

Applied Mathematics — Second Secondary

Unit 1: Statics

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Unit 2: Solid and Analytic Geometry

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Text lesson

The Pyramid and the Cone

Applied Mathematics — Second Secondary

The Pyramid and the Cone

The right circular cone

The right circular cone

  • A cone is a solid whose base is a circle, and which has a curved surface ending at one apex.
  • A right circular cone is a cone whose apex lies directly above the centre of its base, so its axis is perpendicular to the base.

Radius of the base: r

Comparison aspectMain ideaKeywords
Height of the conethe perpendicular distance from the apex to the centre of the baseperpendiculardistanceapexcentre
Slant height (generator)the distance from the apex to any point on the circumference of the basedistanceapexpointcircumference
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  • Applying Pythagoras’ theorem to the right-angled triangle with sides h
  • r and l gives
ApplyingPythagorastheoremright

l² = r² + h²

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