How do you find the surface area of a cylinder, and can you please give me the formula?
-Hailey
Also, how do you find the lateral area? Thank you so much.
lateral area (curved) ... 2 π r h
surface area is lateral area plus the two ends
... SA = LA + 2 π r^2 ... or ... 2 π r (r + h)
To find the surface area of a cylinder, you will need to calculate the sum of the areas of its two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Where:
- π is a mathematical constant approximately equal to 3.14
- r is the radius of the circular base of the cylinder
- h is the height of the cylinder
To calculate the surface area, follow these steps:
1. Determine the radius (r) and height (h) of the cylinder.
2. Calculate the area of each circular base by using the formula: Base Area = πr².
3. Multiply the base area by 2 to get the sum of the areas of both circular bases.
4. Calculate the lateral surface area by using the formula: Lateral Surface Area = 2πrh.
5. Add the sum of the base areas and the lateral surface area together to get the total surface area of the cylinder.
It's important to note that the units of measurement for the radius and height should be the same (e.g., inches, centimeters, etc.) for accurate results.