When we unfold a cylinder, we get a rectangle joined by two identical circles that form the top and the bottom bases of the cylinder shape. It helps us to visualize the shape of a cylinder and its surface area. The net of a cylinder is a 2D structure made by unfolding it. Where ‘h’ is the height and ‘r’ is the radius. The volume of a cylinder, V = πr 2h cubic units The volume of a cylinder = Area of a circle × height If we want a cylinder to fill with water, then the amount of water needed can be calculated by finding its volume. The cylinder volume defines the density or amount of space it occupies. There are two circles, so we multiply the area of the base circle by 2) (Note- ‘h’ is the height and ‘r’ is the radius. Total Surface Area (TSA) = 2πrh + 2πr 2 = 2πr(h+r) square units Total Surface Area (TSA) = Curved Surface Area + 2(Area of a circle) So, in order to find out the total surface area of a cylinder, we calculate the curved surface area and the area of two circles.Ĭurved Surface Area (CSA) = Circumference × Height The cylinder consists of two circles and one curved sheet. The total surface area defines the total area that it occupies including the bases. Thus, its area is: length × width = 2πr × h. This is because, when the curved face of a cylinder is unfolded, we get a rectangle whose length = circumference of the circle = 2πr and width = height of the cylinder = h. (Note: ‘h’ is the height, ‘r’ is the radius, and the value of π is 22/7 or 3.14 approximately). The formula for cylinder curved surface area is given as,Ĭurved Surface Area (CSA) = 2πrh square units space occupied between the two parallel circular bases is known as its CSA. The area formed by the curved surface of the cylinder i.e. The curved surface area is also termed the lateral surface area. Let us learn about the above cylinder formulas in detail. In all these formulas, 'r' represents the base radius and 'h' represents the height of the cylinder. Total surface area of cylinder = 2πr(h+r).Lateral Surface Area (LSA) or Curved Surface Area (CSA) of cylinder = 2πrh.Likewise, the cylinder has three major formulas related to its surface areas and volume. Look at the image below to get an overview of all four types of cylinders explained above.Įvery three-dimensional geometric figure has a minimum of 2 major formulas, surface area, and volume. there is some space or void present inside. It is different from the right circular cylinder since it is hollow in nature, i.e. The point of the axis is common and is perpendicular to the central base. Right Circular Hollow Cylinder or Cylindrical Shell: It consists of two right circular cylinders bounded one inside the other.Elliptic Cylinder: A cylinder whose base is in the form of an ellipse is called an elliptic cylinder.In this, the sides are not perpendicular to the center of the base. Oblique Cylinder: An oblique cylinder is one whose sides lean over the base.Right Circular Cylinder: If the axis of the two parallel bases is perpendicular to the center of the base, it is called the right circular cylinder.In geometry, there are four different types of cylinders. Sides of separate figures that are opposite corresponding angles.Ī six-sided polyhedron that has congruent squares as faces.Ī solid figure with a pair of circular, parallel bases and a round, smooth face between them.We just read about some real-life examples of a cylinder, which shows that it can be of various types. Two angles whose measurements add up to 90º.Ī solid figure with a single circular base and a round, smooth face that diminishes to a single point.Īngles of separate figures that are in the same position within each figure. The distance around a circle, calculated by the formula \(C = \pi d\). The amount of space inside a two-dimensional shape, measured in square units. ^3\).Ī figure formed by the joining of two rays with a common endpoint.
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