Math
Circle
Calculate area, circumference, and diameter.
Calculators / Math / Cylinder
Volume of a Cylinder Calculator
Calculate cylinder volume and surface area, or solve a missing radius, diameter, or height from volume.
On this page
Volume282.74cubic units
Closed surface area245.04square units
Radius3units
Diameter6units
Height10units
Calculator controls
How to calculate
Calculate cylinder volume and surface area, or solve a missing radius, diameter, or height from volume.
Volume = πr²h; closed surface area = 2πr(r + h). Rearrange the volume formula to solve a missing dimension.
Worked example
Example inputs
Solve for: Volume and surface area · Radius: 3 · Diameter: 6 · Height: 10 · Volume: 282.7433388230814
Example resultVolume: 282.74334 cubic units · Closed surface area: 245.04423 square units · Radius: 3 units · Diameter: 6 units · Height: 10 units
Assumptions and limits
Assumes a closed, right circular cylinder and matching length units. The volume unit is the cube of the chosen length unit.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
This volume of a cylinder calculator uses V = πr²h for a right circular cylinder. Total surface area includes the curved wall and both circular ends.
When this tool is useful
Calculate cylinder volume for an ideal tank, tube, or container, or find the surface of a closed cylindrical shape.
Understanding your inputs
| Input | What to enter |
|---|---|
| Solve for | Enter one of the available options. |
| Radius | Enter a number of at least 0.000001 and no more than 1000000000000. |
| Diameter | Enter a number of at least 0.000001 and no more than 1000000000000. |
| Height | Enter a number of at least 0.000001 and no more than 1000000000000. |
| Volume | Enter a number of at least 0.000001 and no more than 1000000000000. |
Frequently asked questions
How do I calculate the volume of a cylinder?
Square the radius, multiply by π, then multiply by the perpendicular height. Use matching length units; the result is in cubic units.
Is this the volume of a hollow pipe?
No. A pipe with wall thickness requires subtracting the inner cylinder’s volume from the outer cylinder’s volume.
Does surface area include the top?
Yes. Both circular ends are included. An open container has less surface area.