A cylinder is a prism, usually with circular ends. Most cans are cylinders.
e.g.
The cylinders we study at school are like the first one above.
It is called a right cylinder. The other one is called an oblique cylinder.
A solid cylinder is said to be closed. A hollow pipe would be an open cylinder.
There are two key measurements for a cylinder.
The radius, r
The height (or length), h
Volume of a Cylinder
The volume of a cylinder uses the formula for the volume of a prism
Volume V = (shaded area) × h V = (π r^{2)} × h V = π r^{2} h

Surface Area of a Cylinder
The surface area of a cylinder is the sum of the area of the two circular ends and the area of the curved surface.
The area of the curved surface is best seen by looking at the net of a cylinder.
cylinder 
net of a cylinder 
Surface Area S = 2 π r ^{2} + 2π rh = 2 π r(r + h) 
Examples of Cylinder Calculations
Examples

Calculation

Find the volume of the cylinder below, use π = 3.1 
The radius of the cylinder = 8 ÷ 2 = 4 cm V = π r^{2} h V = π × 4^{2} × 12 V = 595.2 cm^{3} 
For the solid cylinder shown above, find the surface area. 
Surface area = 2π r^{2} + 2π r h Surface area = 2 × 3.1 × 4^{2} + 2 × 3.1 × 4 × 12 Surface area = 396.8 cm^{2} 