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Cylinder (Geometry)

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

Cylinder

Definition

A cylinder is a 3D figure that has
a pair of circle bases
and a lateral face (side face).
Bases: congruent and parallel

Right Cylinder

Definition

A right cylinder is a cylinder
whose centers of the bases
are the endpoints of the height.

Right Cylinder: Surface Area

Formula


A = 2⋅πr2 + 2πr⋅h
= 2⋅(base area) + (lateral area)
πr2: area of the base circle
2πr: circumference of the base circle
Circle (Geometry)

Example

Surface area?

Solution

Right Cylinder: Volume

Formula


V = πr2h

Example

Volume?

Solution