Surface Area of Cylinder for Class 1

Table of Content

  • Cylinder
  • Parts of Cylinder
  • Curved Surface Area
  • Total Surface Area
  • Cylinder

    Cylinder is a three-dimensional shape with two parallel circular discs or bases separated by a certain distance. At a fixed distance from the centre, the two circular bases are connected by a curved surface. The distance between the two parallel circular bases of the cylinder is referred to as the height of the cylinder.

    Parts of Cylinder

    parts-of-cylinder

    Cylinder Faces, Vertices, and Edges

    parts-of-cylinder1

    Faces: A cylinder has 3 faces in total (2 flat circular faces + 1 curved face)
    Edges: A cylinder has 2 edges (one at the top and one at the bottom)
    Vertices: A cylinder has 0 vertices (as the two edges of the cylinder never meet)

    Area of Cylinder

    A cylinder has two kinds of surface areas:
    1. The curved surface area or the lateral surface area
    2. Total surface area.

    area-of-cylinder

    Curved Surface Area (CSA) or Lateral Surface Area (LSA)

    The curved surface area, or lateral surface area of a cylinder, is the space enclosed between the two parallel circular bases.
    Curved Surface Area (CSA) = 2πrh square units

    Where,
    r is the radius of the cylinder.
    h is the height of the cylinder.

    Total Surface Area (TSA)

    The total surface area of a cylinder is the total area enclosed by a cylinder, including its bases. A cylinder has a lateral surface and two bases that are parallel and identical. Therefore, the total surface area of a cylinder is the sum of the area of the curved surface or lateral surface and the areas of the two circular bases.
    We know that,
    Curved Surface Area (CSA) = (2 πrh) square units
    Area of a Circle = πr2 square units
    Total Surface Area (TSA) of a cylinder = Curved Surface Area + 2(Area of a circle)
    TSA = 2πrh + 2πr2 = 2πr(h + r) square units

    Where,
    π (pi) is a mathematical constant (approximately equal to 3.14)
    r is the radius of the circular base
    h is the height of the cylinder

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