Cylinder Volume Calculator
Enter a radius and height to calculate cylinder volume instantly.
How to use this cylinder volume calculator
- Enter the radius
Type the cylinder's base radius into the Radius field.
- Enter the height
Type the cylinder's height into the Height field using the same unit as the radius.
- Read the volume
The calculator returns the volume in cubic units, representing the space inside the cylinder.
- Check the base area
Review the Base area result if you need the circular cross-section size on its own.
- Note the surface area
Use the Surface area output for material, paint, or wrapping estimates.
How this cylinder volume calculator works
This calculator first finds the area of the circular base and then multiplies it by height to get the cylinder's volume. It also reports base area and total surface area because those values are useful for material estimates, labeling, wrapping, and manufacturing checks.
volume = πr²h If the radius is 4 and the height is 10, the base area is 50.27 and the cylinder volume is 502.65.
If the radius is 7 and the height is 20, the base area is 153.94 and the volume is 3078.76.
If the radius is 2.5 and the height is 6, the base area is 19.63 and the volume is 117.81.
- ✓ The base is perfectly circular.
- ✓ Radius and height use the same linear unit.
- ✓ The result for volume is expressed in cubic units.
- Volume is useful for capacity questions such as tanks, cans, and storage vessels.
- Surface area is useful when estimating paint, wrap, insulation, or material coverage.
- If you know diameter instead of radius, divide by 2 first.
- Solid geometry formulas for cylinders
What is cylinder volume?
Cylinder volume measures the three-dimensional space enclosed by a circular base and a uniform height. The formula V = πr²h works by first calculating the area of the circular base and then extending it through the full height of the cylinder. Because the cross-section is the same at every level, the calculation is a straightforward multiplication. This makes the cylinder one of the simplest 3D shapes to measure, which is why it is so common in engineering and manufacturing. Tanks, cans, pipes, columns, and silos are all cylinders precisely because the shape is efficient to build and easy to calculate.
Real-world applications of cylinder volume
Cylinder volume is essential in fluid storage, structural engineering, and packaging. A water utility calculates the volume of a cylindrical reservoir to know its capacity in liters or gallons. A brewer sizes fermentation tanks using cylinder volume. Civil engineers compute the volume of concrete needed for cylindrical bridge piers. In packaging, the volume of a tin can determines how much product it holds. HVAC technicians use cylinder volume when sizing ductwork. Even a simple rain gauge is a cylinder whose volume per centimeter of height tells you the rainfall amount. Whenever you need to know how much a cylindrical container can hold or how much material it takes to fill one, this formula is the starting point.
Cylinder volume calculator FAQs
What unit is the volume shown in?
The output is in cubic units based on the unit used for radius and height, such as cubic centimeters or cubic feet.
Why does the calculator show base area too?
Because base area is the intermediate value used in the cylinder volume formula and is often useful on its own.
Can I use inside radius for tank capacity?
Yes. If you want usable interior volume, use the interior radius and interior height.