How To Calculate The Volume Of A Cylinder: Step-By-Step Guide With Formula (W/ Example)

Surface area of a Cylinder

Volume of Triangle Prism= (area of triangular base)x(height of prism)

The surface area of a cylinder is the sum of the areas of its top and bottom circular bases and its curved lateral surface area. The formula to calculate the surface area of a cylinder is:

Surface area = 2πr² + 2πrh

Where r is the radius of the circular base and h is the height of the cylinder.

To find the surface area of a cylinder, follow these steps:

1. Measure the radius of the circular base and the height of the cylinder.

2. Calculate the area of each circular base by using the formula A = πr².

3. Calculate the curved lateral surface area by multiplying the height of the cylinder by the circumference of the circular base, which is 2πr. So, the lateral surface area formula is: A = 2πrh.

4. Add the areas of the two circular bases and the area of the curved lateral surface to find the total surface area.

For example, if a cylinder has a radius of 5 cm and a height of 10 cm, the surface area would be:

Surface area = 2πr² + 2πrh
Surface area = 2π(5)² + 2π(5)(10)
Surface area = 2π(25) + 2π(50)
Surface area = 50π + 100π
Surface area = 150π
Surface area ≈ 471.24 cm²

So, the surface area of the cylinder is approximately 471.24 cm².

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