Math

Surface Area Calculator

Find the total and curved surface area of a cube, box, cylinder, sphere, cone or hemisphere.

Rules last checked 25 October 2026Every step shown

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Cube: side. Box: length. Cylinder, sphere, cone, hemisphere: radius.

Total surface area

245.0442 square units

Curved surface only
188.4956

The cylinder has a total surface area of 245.0442 square units, of which 188.4956 is the curved surface.

How it's worked out

  1. Cylinder surface2πr² + 2πrh245.0442
  • Use the same unit for every measurement; the answer is in that unit squared. Handy for paint, wrapping or insulation.

The formulas

Cube 6a² · Box 2(lw + lh + wh) · Cylinder 2πr² + 2πrh · Sphere 4πr² · Cone πr² + πrl · Hemisphere 3πr²

Worked example

A cylinder of radius 3 and height 10: 2π × 9 + 2π × 30 = 78π ≈ 245.04 square units, of which the curved side is 60π ≈ 188.50.

Questions people ask

What is the surface area of a cylinder?

2πr² for the two ends plus 2πrh for the curved side. A cylinder of radius 3 and height 10 has 78π ≈ 245.04 square units.

What is the surface area of a sphere?

4πr².

What is the surface area of a cone?

πr² for the base plus πr × the slant height, where the slant is √(r² + h²).

About this calculator

Formula and rules last checked 25 October 2026Written and tested by the CalculatorDex teamReport a problem