## Cylinder Surface Area

### The surface area of a cylinder can be calculated by adding the areas of its curved surface and its two circular bases

The surface area of a cylinder can be calculated by adding the areas of its curved surface and its two circular bases.

The formula to calculate the surface area of a cylinder is:

Surface Area = 2πr(r + h)

Where:

– π (pi) is a constant approximately equal to 3.14159.

– r is the radius of the cylinder’s base.

– h is the height of the cylinder.

To find the surface area, you need to know the values for the radius and the height. The radius is the distance from the center of the circular base to any point on its edge. The height is the perpendicular distance between the two bases.

To explain the formula, the term “2πr” represents the curved surface area of the cylinder. This is found by calculating the circumference of the base (2πr) and multiplying it by the height (h). The term “2πr²” accounts for the areas of the two circular bases of the cylinder.

Let’s work on an example:

Consider a cylinder with a radius r = 3 units and a height h = 8 units.

Surface Area = 2π(3)(3 + 8)

= 2π(3)(11)

= 66π square units

≈ 207.35 square units (rounded to two decimal places)

So, the surface area of this cylinder is approximately 207.35 square units.

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