Our cylinder volume calculator enables calculating the volume of that solid. Whether you want to figure out how much water fits in a can, coffee in your favorite mug, or even 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).
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 The cylinder volume calculator helps in finding the volume of right, hollow and oblique cylinders:
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 by imagining, e.g., a drinking straw or a pipe – the hollow cylinder is this plastic, metal, or other material. The formula behind the volume of a hollow cylinder is: cylinder_volume = π × (R² - r²) × cylinder_height where 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? 😀
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!
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 general volume calculator! If you are curious about how many teaspoons or cups fit 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.
Cylinders are all around us, and we are not just talking about Pringles’ cans. Although things in nature are rarely perfect cylinders, some examples are tree trunks & plant stems, some bones (and therefore bodies), and the flagella of microscopic organisms. These make up a large amount of the natural objects on Earth!
To draw a cylinder, follow these steps:
To calculate the weight of a cylinder:
If you have the volume and radius of the cylinder:
If you have the surface area and radius (r):
If you have the volume and height of the cylinder:
If you have the surface area and height (h):
A right trapezoidal cylinder, also known as a rectangular prism, can be solved as such:
To find the volume of an oval cylinder:
To calculator the volume of a slanted cylinder:
To compute the swept volume of a cylinder:
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