# Total surface area of cylinder calculator

# Total surface area of cylinder formula step by step

**the step-by-step process for calculating the total surface area of a cylinder:**

- Identify the radius of the circular base of the cylinder. Let’s call this radius r.
- Identify the height of the cylinder. Let’s call this height h.
- Calculate the lateral surface area of the cylinder. This is the area of the curved surface of the cylinder. The formula for the lateral surface area is:
L = 2 * pi * r * h

**Calculate the area of the circular base of the cylinder. The formula for the area of a circle is:**A = pi * r^2

**Since the cylinder has two circular bases, the total base area is:**B = 2 * A = 2 * pi * r^2

**Add the lateral surface area and the base area to get the total surface area of the cylinder:**T = L + B = 2 * pi * r * h + 2 * pi * r^2

So, the complete formula for calculating the total surface area of a cylinder is:

T = 2 * pi * r * h + 2 * pi * r^2

**where**:

- T is the total surface area of the cylinder
- r is the radius of the circular base of the cylinder
- h is the height of the cylinder
- pi is the mathematical constant pi (approximately 3.14159)

I hope this helps!