Add two circular bases and the curved side of a closed right cylinder. Each submitted value produces total surface area plus the intermediate reasoning.
A closed cylinder unwraps into two circles and one rectangle. The rectangle's width equals circumference 2πr and its height remains h, producing total area 2πr² + 2πrh. For a connected concept in Cylinder Surface Area, see sphere surface.
Radius is half the diameter. Also decide whether the object is closed, open at one end, or has no ends; this page calculates the closed form with both bases.
With radius 4 and height 11, the two bases contribute 32π and the curved side contributes 88π. Total area is 120π, approximately 376.9911 square units. This Cylinder Surface Area example can be compared with cylinder volume.
Review Radius inside the Cylinder Surface Area relation. Hold Height steady while testing Height. A rough Total surface area gives Cylinder Surface Area an independent scale check. Keep the revised Cylinder Surface Area inputs beside their own Total surface area.
Find one circle's area πr² and double it. Find circumference 2πr and multiply by height for the lateral surface. Add those contributions without mixing units.
Surface area estimates sheet material, paint coverage, labels plus end caps, and heat-transfer boundaries. An open container needs one base removed from the total. A related application of Cylinder Surface Area is cone surface.
Start the Cylinder Surface Area review with Radius. Compare Radius with its source, then test Height in a second Cylinder Surface Area run without changing the first Cylinder Surface Area case.
A practical Cylinder Surface Area check is to simplify Radius and leave Height unchanged. The resulting Total surface area should be easy to estimate, giving a reference point for the less convenient values in the original problem.
Work backward from Total surface area when checking Cylinder Surface Area. Ask whether Radius can support that Total surface area under Height. A failed reversal narrows the questionable part of the Cylinder Surface Area setup.
Yes. The result is for a closed cylinder with two circular bases.
Subtract one base area, πr², from the displayed total.
It is the curved side only, equal to 2πrh.
Convert it to radius by dividing by 2 first.
Surface area measures a two-dimensional covering.