How to calucate surface area

Surface area of a cylinder = 2πrh+2πr²

r = radius

h = height

2πrh + 2πr²

Step-by-step explanation:

The surface area of a cylinder is made up of the lateral area (area of the curved side of the cylinder) and of the ends.

The lateral area is A = πdh, where d is the diameter of the cylinder and h is the height. This is equivalent to A = 2πrh, where r is the radius.

The area of one end of the cylinder is A = πr².

We must multiply that by 2 if we want the total area of the ends.

Then the overall total is

A = πdh + 2πr², or 2πrh + 2πr².