Art of Problem Solving

Right cone: Difference between revisions

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<h3>Definition</h3>
A '''right cone''' is a [[cone]] in which the [[line]] joining the [[vertex]] to the [[center]] of the [[base]] is [[perpendicular]] to the [[plane]] of the base.
A '''right cone''' is a [[cone]] in which the [[line]] joining the [[vertex]] to the [[center]] of the [[base]] is [[perpendicular]] to the [[plane]] of the base.


{{stub}}
<h3>What exactly defines a cone?</h3>
[[Category:Definition]]
A cone has two important defining features: a base, and a [[slant height]] that is equal, from any point on the base. Generally, a "cone" is defined as a right, circular cone.
[[Category:Geometry]]
 
<h3>What is so special about right cones?</h3>
Right cones have a height that is perpendicular to the base. This makes the volume easy to calculate.
 
<h3>What about the "lateral surface area"? What's that?</h3>
The lateral surface area is a fancy name for the surface area of a cone, without the base. The lateral surface area can be found by calculating what [[proportion]] of a circle with radius of the slant height makes up the cone.

Latest revision as of 14:52, 19 February 2024

Definition

A right cone is a cone in which the line joining the vertex to the center of the base is perpendicular to the plane of the base.

What exactly defines a cone?

A cone has two important defining features: a base, and a slant height that is equal, from any point on the base. Generally, a "cone" is defined as a right, circular cone.

What is so special about right cones?

Right cones have a height that is perpendicular to the base. This makes the volume easy to calculate.

What about the "lateral surface area"? What's that?

The lateral surface area is a fancy name for the surface area of a cone, without the base. The lateral surface area can be found by calculating what proportion of a circle with radius of the slant height makes up the cone.