The formula of the lateral surface area of the cylinder is

Concept- The curved region between the base and the top of a cylinder is known as the lateral surface area. To determine the size of the curved surface, we first need to try to divide the cylinder into simpler shapes.
The area of an object's sides, except for the area of its top and base, is referred to as the lateral surface area. Two sides, two curved edges in which the curving wall joins the final circles, and a curved surface extending here between two circular ends make up a cylinder. Let's think about the following figure.
As a result, we can divide the cylinder into two circles each with a diameter of d and a rectangle each with a width of h and a length equal to the circumference of the circle. Therefore, it is obvious that perhaps the lateral surface area, in this case, corresponds to the area of the rectangular section alone.
The lateral surface area formula can therefore be expressed as . Lateral surface area = can now be expressed in terms of radius.
Now that we've been asked to calculate the lateral surface area of the cylinder, which equals , where r is its radius and h is its height.
Hence, the correct answer is option 1.