Cylinder Surface Area Calculator
SA = 2πr² + 2πrh. Two circular ends + lateral wrap.
Result
Surface area (closed)
351.8584
Lateral 251.33 + ends 100.53.
- Radius4
- Height10
- Lateral surface2πrh251.327412
- Two ends2 × πr²100.530965
- Total SA351.858377
- Open-top SALateral + 1 end301.592895
- Volume502.654825
Step-by-step
- Lateral = 2πrh = circumference × height = 251.3274.
- Two end circles = 2 × πr² = 100.5310.
- Total SA = 351.8584.
How to use this calculator
- Enter radius and height.
- Read closed + open-top + lateral surface areas.
About this calculator
A cylinder has two circular ends (each πr², total 2πr²) and a lateral surface (rectangle when unrolled, 2πr × h = 2πrh). For an open container (top removed): lateral + 1 end. For a tube (both ends open): just 2πrh. The optimal cylinder for minimum SA at given volume has h = 2r (height = diameter) — which is why most pop cans approximate this aspect ratio.
Frequently asked
Unroll the cylinder: it becomes a rectangle of width = circumference = 2πr and height = h.
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