L.A.= 2*pi*radius*height
its not like finding the area of a rectangle. a cylinder is a 3-D shape and a rectangle is a flat shape
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Lateral Area= (2pi)x(radius)x(height) Try imagining that you take the lateral area and unfold it from the cylinder. If you imagine it correctly you get a rectangle. The height of the cylinder is the height of the rectangle. Then the circumference is the length. SO you multiply the circumference of the base times the height.
Cylinder
A cross section of a cylinder along its length is called a rectangle. When a cylinder is cut along its length, the resulting shape is a rectangle with a length equal to the circumference of the cylinder and a height equal to the height of the cylinder. The area of this rectangle represents the lateral surface area of the cylinder.
The shape you are describing is a cylinder. A cylinder has two circular faces, which are also known as bases, and one rectangular face, which is called the lateral face. The lateral face of a cylinder is formed by unrolling the curved surface of the cylinder into a flat shape, creating a rectangle.
The lateral area is the surface area of a 3D figure, excluding the area of any bases. For the lateral area of a cylinder, you would take the circumference of the base multiplied by the height of the cylinder to get the lateral area of the surface. It's basically splitting a can down one side, cutting the ends off completely, rolling it out flat, and figuring out the area of the resulting rectangle.