Cylinder surface area combines two circular bases and one curved side. The compact formula 2πr(r+h) includes both base circles and the lateral rectangle when unwrapped.
⚠Radius and height must be positive and use the same unit. Total area is in square units.
How Cylinder Surface Area Works
Unrolling the curved side of a cylinder creates a rectangle with width equal to circumference and height equal to cylinder height.
Two Bases
The circular bases add 2πr².
Curved Side
Lateral area is 2πrh.
Total Area
Add bases and side together.
Volume Check
Volume is also shown for context.
💡 Example: For r=3 and h=8, A=2π(3)(3+8)=207.345 square units.
Applications of Cylinder Surface Area
CansTank CoatingPipe LabelsManufacturing
Frequently Asked Questions
What is a cylinder surface area calculator?▼
It calculates the total outside area of a cylinder from radius and height.
What is the cylinder surface area formula?▼
The total surface area formula is A = 2πr(r+h).
How do I use this calculator?▼
Enter radius and height, then click Calculate to get total surface area, lateral area, and volume.
What is lateral area of a cylinder?▼
Lateral area is only the curved side area, calculated as 2πrh.
Where is cylinder surface area used?▼
It is used for cans, tanks, labels, pipes, painting, and manufacturing estimates.
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