Finding Surface Area of Cylinder And Volume of Cylinder

A cylinder is known to be a three-dimensional figure or an object with two flat and round bases and whose one side is curved. In the middle, it has a curved surface. The top and the base surface are identical in a cylinder. From this, we can conclude that the bases are always congruent and parallel to each other. A cylinder has no vertices. Cuemath is the best website to learn all the mathematical concepts in an easy way.

We can define a surface area of a cylinder as the total space which is covered by the flat surfaces of the bases of the cylinder along with that of the curved surface of the cylinder. The cylinders total surface area has two components which are as follows:

  • The curved surface area of the cylinder.
  • The flat surface area is of the two flat faces of a cylinder.

In this article, we will discuss what is the surface area of the cylinder as well as how to calculate the total surface area along with the lateral surface area of a cylinder. A cylinder is recognized as a 3-D solid figure which consists of two circular bases which are connected to a curved face.

The Surface area of a cylinder is the summation of the areas that are on the exposed sides of an object. And its volume is a measure of how much space a figure or an object usually occupies.

Surface Area of Cylinder

The cylinder’s surface area is the sum of an area of a circle. As the cylinder’s base is a circle in shape and the area of the curved surface is a rectangle of length. And the cylinder’s height and circumference of the base as its width.

Curved Surface Area

The cylinder’s curved surface area is the area that is covered by the curved surface of the cylinder. To calculate the curved surface area of a cylinder the formula is as follows:

The curved surface area is also called the CSA of cylinder = 2πrh.


  • The letter r = is the Radius of the base of the cylinder.
  • The letter h = is the Height of the cylinder.

Flat Surface Area

The cylinder’s total surface area which is also written as the TSA  is obtained by adding the area of both the bases and the area of the CSA. Thus we can say that the formula for the surface area of the cylinder is given as follows:

Total surface area that is the TSA of the cylinder is = 2πr2+2πrh = 2πr(h+r).


  • The letter r = cylinders Base radius.
  • The letter h = is cylinders Height.

Volume of Cylinder

The cylinder’s volume is called the density of the cylinder which usually signifies the amount of material it can carry. Or say how much of any material can be immersed into it. The cylinder’s volume is given by the formula =  π r 2 h.

There are four kinds of cylinders mentioned below as follows:

  • The right circular cylinder: these types of cylinders base are circles and every line segment is a lateral curved surface part and it is perpendicular to the bases.
  • The oblique cylinder: this cylinder’s sides line over the base of the cylinder.
  • The Elliptic cylinder: the base of this cylinder is an ellipse.
  • The right hollow circular cylinder: this contains two right circular cylinders.
  • where the letter r is known as the radius of the base that is circular and the letter h is the height of the cylinder.
  • The volume of cylinder of base radius that is r and height ‘that is h’ = the area of base × the height of the cylinder.
  • Since the  circles base is there so it can be written as:
  • Volume that is V =  πr2 × h.