Cylinder Calculator: Volume, Surface Area and Capacity in Litres
Enter the radius and height and choose a unit. You get the volume, CSA, TSA and how many litres it holds.
- Nothing you type is stored
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Volume
1,539.3804cm³
- Curved surface area (CSA)
- 439.823 cm²
- Total surface area (TSA)
- 747.6991 cm²
- Base area (each end)
- 153.938 cm²
- Capacity in litres
- 1.5394 L
Show working
- V = πr²h = π × 7² × 10 = 1,539.3804 cm³
- CSA = 2πrh = 2 × π × 7 × 10 = 439.823 cm²
- TSA = 2πr(r + h) = 2 × π × 7 × 17 = 747.6991 cm²
How to use
- Enter the radius and height.
- Choose a unit, and π if your book uses 22/7.
- Read the volume, surface areas and litres.
Good to know
Volume = πr²h, curved surface area = 2πrh and total surface area = 2πr(r + h), as in NCERT Class 9 and 10 "Surface Areas and Volumes".
If you know the diameter, halve it first. For a pipe or hollow cylinder, the volume of material is π(R² − r²)h using the outer and inner radii: work out both cylinders and subtract.
Capacity in litres is shown for water tanks, drums and gas cylinders. Use the inside measurements; for an open tank (no lid), the sheet needed is CSA + one base.
Questions
How many litres does a cylindrical tank hold?
Volume in cm³ ÷ 1,000. A tank of radius 50 cm and height 1 m holds about 785 litres.
What is the curved surface area of a cylinder?
2πrh: the side surface rolled out into a rectangle of length 2πr and height h.
How do I find the height from the volume?
h = V ÷ (πr²).
What if I know the diameter?
Divide it by 2 to get the radius and enter that.
Is anything I enter stored?
No. The calculation runs in your browser and nothing is sent to a server.