How to Calculate the Surface Area of a Cylinder: Step-By-Step Guide and Formula

Surface area of a Cylinder

To find the surface area of a cylinder, you need to calculate the area of each of its individual parts and then add them together

To find the surface area of a cylinder, you need to calculate the area of each of its individual parts and then add them together.

A cylinder has two circular bases and one curved lateral surface. The formula for the surface area of a cylinder is given by:

Surface Area = 2πr^2 + 2πrh,

where r is the radius of the base and h is the height of the cylinder.

1. Calculate the area of the two circular bases:
The formula for the area of a circle is given by: A = πr^2
So, the total area of the two circular bases is: 2πr^2

2. Calculate the area of the curved lateral surface:
The formula for the area of a rectangle is given by: A = length × width
In this case, the length of the rectangle would be the circumference of the base, which is 2πr, and the width would be the height of the cylinder, h.
So, the area of the curved lateral surface is: 2πrh

3. Add the areas of the bases and curved lateral surface together:
Surface Area = 2πr^2 + 2πrh

That’s it! You have now calculated the surface area of a cylinder. Make sure to double-check your calculations and provide the answer with appropriate units (e.g., square units).

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