Add two circular bases and the curved side of a closed right cylinder. Each submitted value produces total surface area plus the intermediate reasoning.
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.
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.
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.
The calculation treats radius and height according to their labels, not as interchangeable values in cylinder surface area.
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.
An impossible total surface area sign or magnitude usually points to field assignment before it points to rounding.
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.
Start the cylinder surface area setup by pairing every source number with radius and height. Convert unlike units before typing, and postpone rounding until the displayed total surface area is ready to report.
Increasing height affects only the lateral term, while increasing radius changes both the bases and circumference. This makes radius changes more influential than a simple linear glance may suggest. Use that direction of change to check the displayed total surface area before copying it elsewhere.
When copying the result elsewhere, include its label and any squared, linear, angular, or percentage unit implied by the inputs. That record distinguishes a calculated total surface area from an unlabeled number and makes later checking substantially easier.
Surface area estimates covering; volume estimates capacity. Their units and scaling differ even though both formulas use the same radius and height. Keep that boundary in mind when interpreting the numerical result.
For later verification, record radius and height before rounding the total surface area. The unrounded working value can feed subsequent steps while the rounded value serves presentation.
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.