Our cylinder volume calculator enables calculating the volume of that solid. Whether you want to figure how much water fits in the can, coffee in your favorite mug, or even what's the volume of a drinking straw - you're in the right place. The other option is calculating the volume of a cylindrical shell (hollow cylinder).
How to calculate volume of a cylinder?
Let's start from the beginning - what is a cylinder? It's a solid bounded by a cylindrical surface and two parallel planes. We can imagine it as a solid physical tin having lids on top and bottom. To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Cylinder volume calculator helps in finding the volume of right, hollow and oblique cylinder:
Volume of a hollow cylinder
The hollow cylinder, also called the cylindrical shell, is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis. It's easier to understand that definition imagining e.g. a drinking straw or a pipe - the hollow cylinder is this plastic, metal, or other material part. The formula behind the volume of a hollow cylinder is:
cylinder_volume = π * (R² - r²) * cylinder_height
R - external radius, and
r - internal radius
To calculate the volume of a cylindrical shell, let's take some real-life example, maybe... a roll of toilet paper, because why not? :)
- Enter the external radius of the cylinder. The standard is equal to approximately 5.5 cm.
- Determine the internal cylinder radius. It's the internal radius of the cardboard part, around 2 cm.
- Find out what's the height of the cylinder, for us it's 9 cm.
- Tadaaam! The volume of a hollow cylinder is equal to 742.2 cm3.
Remember that the result is the volume of the paper and the cardboard. If you want to calculate how much plasticine you can put inside the cardboard roll, use the standard formula for the volume of a cylinder - the calculator will calculate it in the blink of an eye!
Volume of an oblique cylinder
The oblique cylinder is the one that 'leans over' - the sides are not perpendicular to the bases in contrast to a standard 'right cylinder'. How to calculate the volume of an oblique cylinder? The formula is the same as for the straight one. Just remember that the height must be perpendicular to the bases.
Now when you know how to calculate a volume of a cylinder, maybe you want to determine the volumes of other 3D solids? Use this volume calculator! If you are curious how many teaspoons or cups fits into your container, use our volume converter. To calculate the volume of soil needed for flower pots of different shapes - also for the cylindrical one - use the potting soil calculator.