What is the formula to find the lateral surface area of a cylinder?

Answer 1

The lateral surface area of a cylinder is the area of a rectangle. In other words: when a cylinder is unravelled, you are left with a simple rectangle with width and length. Depending on what kind of cylinder you happen to have, the circumference of the cylinder could be the width or the length. Where you have a short cylinder with a wide mouth, the circumference would become the length and the h would become the w.

So, think of a cylinder as a rectangle. Take a piece of paper (rectangular) and bring the ends together. What do you have?: a cylinder.

Now - for the formula: Diameter= D, Circumference= C, pi= 3.14

These are the parameters of a circle. Now, in mathematics, the radius of the circle and 2 *Pi is used in order to find the circumference of the circle. So, (D * pi)= 2Pi *r = C Therefore, the circumference or perimeter equals the width and the height or h = length of a rectangle.

Now, then: The Formula for the Lateral surface of a cylinder Is:

(2*Pi*r)*h= A Remember that the radius is half the Diameter of a circle and must be multiplied by two in order to convert back to D or Diameter. Please, note that ( 2*pi )= 360 degrees, and that it (2*Pi) also represents one whole revolution around the perimeter of a circle. To simplify: Diameter X (3.14) X height = Lateral Area of a cylinder.

I hope this is of some help!