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Formula of Curved Surface Area Cylinder. A cylinder is a three-dimensional solid, whose circular base and top are parallel to each other. The perpendicular distance between the top and the base is defined as the total height of the cylinder.
The surface area (also known as the total surface area) of a cylinder of radius 'r' and height 'h' is 2πr(r+h) whereas the curved surface area of a cylinder is 2πrh. Learn how to these formulas are derived.
Aug 3, 2023 · The surface area of a cylinder is the total space occupied by the flat circular bases of the cylinder and the curved surface. Simply, it is the sum of an area of a circle, since the base of the cylinder is a circle and the area of the curved surface which is a rectangle.
Formula – How to find the curved surface area of a cylinder using the radius and volume. Step 1: Find the height. Height = Volume ÷ (π x Radius 2) Step 2: Find the surface area of the curved part of the cylinder. Surface Area (Curved) = 2 x π x Radius x Height. Example. A cylinder has a volume of 785.39 and a radius of 5. Height = 785.39 ...
Jul 9, 2024 · 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. It is also called Lateral surface area (LSA).
The area of the curved side of the cylinder is 2 \pi r h, 2πrh, where h h is the height of the cylinder. Equating these two gives 2 \pi r^2=2 \pi r h \Rightarrow h=r. 2πr2 = 2πrh ⇒ h = r. Thus, the answer is r. r. _\square .
Surface Area of a Cylinder. There are three surfaces that make up the total surface of a cylinder - two circular bases and the curved surface joining them. The surface area of the cylinder is the total area covered by these surfaces. The area of the curved surface is known as the curved surface area or lateral surface area of the cylinder.
