Cylinder volume equals the circular base area multiplied by height. The base area is πr², so stacking that same circle through the height gives the full three-dimensional volume.
⚠Radius and height must be positive and use the same unit. The volume result is in cubic units.
How Cylinder Volume Works
A cylinder can be viewed as many identical circular slices stacked together. The taller the stack or the larger the radius, the greater the volume.
Radius
Distance from center to edge of the circular base.
Height
Vertical distance between the two bases.
Base Area
The circle area is πr².
Surface Area
The tool also reports total outside area.
💡 Example: For r=3 and h=10, V=π(3²)(10)=282.743 cubic units.
Applications of Cylinder Volume
Tank CapacityPipe VolumePackagingEngineering
Frequently Asked Questions
What is a cylinder volume calculator?▼
It calculates the space inside a cylinder from its circular radius and height.
What is the cylinder volume formula?▼
The formula is V = πr²h, where r is radius and h is height.
How do I use this calculator?▼
Enter the radius and height, then click Calculate to get volume and surface area.
Can I use diameter instead of radius?▼
If you have diameter, divide it by 2 first to get the radius.
Where is cylinder volume used?▼
It is used for tanks, pipes, cans, containers, manufacturing, and geometry homework.
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.