# Surface Area of Cylinder

To calculate the **surface area of a cylinder** we need to know its diameter or radius, the pi number (3.1415...) and its height. The **surface area of a cylinder** is a phrase which express a largeness of a surface around a cylinder solid. We can use a formula of the **surface area of a cylinder** to count how much sheetmetal we need to make one food can. The elementary unit of the surface area is one square metre, it means the second power of one metre (1 m^{2}).

## Surface Area of Cylinder - formula

**Surface Area of Cylinder** = Ludolph's number × diameter × (diameter/2 + height)

or

**Surface Area of Cylinder** = 2 × Ludolph's number × radius × (radius + height)

S = π × d × (d/2 + v) = 2 × π × r × (r + v)