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## Definition of Curved Surface Area of Right Circular Cylinder

The **Curved Surface Area of Right Circular Cylinder** may be defined as the surface area of the cylinder excluding the area of the top and the bottom faces.

## Explanation

To understand the concept of the **Curved Surface Area of Right Circular Cylinder**, let us consider a hollow **Right Circular Cylinder** as shown in the figure below. Now if the top and the bottom faces of the **Right Circular Cylinder** is removed than we will get a shape similar to the right-hand side of the figure.

The surface area for the above shape that does not include the surface area of the top of the bottom faces is called the **Curved Surface Area** of the **Right Circular Cylinder**.

## Curved Surface Area of Right Circular Cylinder Formula

If the **Right Circular Cylinder** is cut along the line that is parallel to the edge as shown in the figure below, then a rectangular shape is obtained.

Therefore, the **Curved Surface Area of Right Circular Cylinder** is equal to the area of the Triangle and is given by,

Curved Surface Area =l\times h

Where, l is the length and h is the height of the Right Circular Cylinder. From the figure it is clear that the length l is equal to the circumference or perimeter of the circular faces. If, r is the radius of the circular base then the value of l can be found out by,

l=2\pi r

Therefore, the above formula for finding the Curved Surface Area of Right Circular Cylinder can be modified as,

Curved Surface Area =2\pi r h

## Frequently Asked Questions (FAQ)

### What is curved surface area of cylinder?

The **Curved Surface Area of Right Circular Cylinder** may be defined as the surface area of the cylinder excluding the area of the top and the bottom faces.

### What is the formula of curved surface area of right circular cylinder?

The formula for finding the Curved Surface Area of a Right Circular Cylinder is 2πrh

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