So, the curved surface area of the cylinder = Area of the rectangular sheet of paper The area of the rectangular sheet gives the curved surface area of the cylinder. It is to be noted that the length (l) of the rectangular sheet is equal to the circumference of the circular base which is equal to 2πr. So, to cover the cylinder first take a rectangular sheet of paper, whose length (l) is just enough to go round the cylinder and the breadth is equal to the height (h) of the cylinder as shown in the figure below. The covering has to be done with a minimum amount of paper. unitsĭerivation of the Formula of Surface Area of CylinderĬonsider a situation in which a cylinder has to be covered with colored papers. TSA of cylinder = CSA of cylinder + Area of its two circular bases Total surface area (TSA) of cylinder = Area of curved surface + Area of its two circular bases The TSA of a cylinder having its base radius ‘r’ and height ‘h’ is given by: The total surface area of a cylinder is defined as the sum of areas of its curved surface and two circular bases. The CSA of a cylinder having its base radius ‘r’ and height ‘h’ is given by:Ĭurved surface area (CSA) of cylinder = 2πrh sq. It is also called Lateral surface area (LSA). The curved surface area of a cylinder is defined as the area of its curved surface or the area obtained after excluding the area of its two circular bases. The Surface Area of the Cylinder can be Classified into Two Types: The area of both circular bases is equal. A cylinder consists of two types of surface, one is a curved surface and the other is a circular basis. In geometry, the area of any shape is the region covered by it in a plane. Follow the full article to learn about the following concepts. The subject experts at Vedantu have compiled the article to help the students learn the concepts with ease. The distance between the axis to the outer curved surface is called radius (r) of the cylinder and the perpendicular distance between the two parallel circular bases is called height (h) of the cylinder.Įxamples of cylinders: candles, water tank, pipes, well, etc. The line segment joining the centers of circular bases is called the axis of the cylinder. It can also be seen as a set of circular discs stacked on one another. A cylinder is a three-dimensional solid shape having two parallel circular bases joined by a curved surface at a fixed distance.
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