Cylinder Formulas
3D Solids
Cylinder
- Volume
- V = πr2h
- Curved surface area
- CSA = 2πrh
- Total surface area
- TSA = 2πr(r + h)
- r radius
- h height
Cylinder formulas explained
A cylinder has two parallel circular bases joined by a curved surface. Unrolled, the curved surface is a rectangle 2πr wide. Below are all the cylinder formulas with what each letter means, a worked example and a free calculator.
- Volume:
V = πr²h - Curved surface area:
CSA = 2πrh - Total surface area:
TSA = 2πr(r + h)
Cylinder calculator
Live calculator
Cylinder calculator
Worked example: volume of a cylinder
Given Radius r = 3 cm, Height h = 7 cm, substitute the values into each cylinder formula:
- V = π × 3² × 7 = 197.92 cm³
- CSA = 2 × π × 3 × 7 = 131.95 cm²
- TSA = 2π × 3 × (3 + 7) = 188.5 cm²
Cylinder Formula SheetFormulas, variables, a worked example and practice questions with answers.Download PDFOpen
Cylinder formulas FAQ
What is the formula for the volume of a cylinder?
The volume of a cylinder is V = πr²h, where r is the radius, h is the height.
What is the formula for the curved surface area of a cylinder?
The curved surface area of a cylinder is CSA = 2πrh, where r is the radius, h is the height.
What is the formula for the total surface area of a cylinder?
The total surface area of a cylinder is TSA = 2πr(r + h), where r is the radius, h is the height.
Can I download the cylinder formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable cylinder formula sheet with a worked example and practice questions.