# Cone (Geometry)

See how to find the surface area/volume of a cone.

2 examples and their solutions.

## Cone

### Definition

that has a vertex, a circle base,

and a lateral face (side face).

## Right Cone

### Definition

whose vertex and the center of the base circle

are the endpoints of the height.

## Right Cone: Surface Area

### Formula

A = πr

^{2}+ πrh

_{s}

= (base area) + (lateral area)

^{2}: Area of the base circle

h

_{s}: Slant height

### Example

Surface area?

Solution ## Cone: Volume

### Formula

V = 13πr

^{2}h

### Example

Volume?

Solution V = 13π⋅3

^{2}⋅4

= π⋅3⋅4

= 12π

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