Ximpledu

Cone (Geometry)

See how to find the surface area/volume of a cone.
2 examples and their solutions.

Cone

Definition

A cone is a 3D figure
that has a vertex, a circle base,
and a lateral face (side face).

Right Cone

Definition

A right cone is a cone
whose vertex and the center of the base circle
are the endpoints of the height.

Right Cone: Surface Area

Formula


A = πr2 + πrhs
= (base area) + (lateral area)
πr2: area of the base circle
hs: slant height

Example

Surface area?

Solution

Cone: Volume

Formula


V = 13πr2h

Example

Volume?

Solution