Cylinder volume

Calculate instantly online! Your math assistant to calculate the volume of the cylinder easily.

Cylinder Volume Calculator

Cylinder Volume




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The previous online calculator is a tool to calculate the volume of a cylinder, based on its radius and height dimensions. The application calculates the volume of the cylinder using the standard formula: Volume = π × radius² × height to calculate right, oblique, or hollow cylinders.

How does the cylinder volume calculator work?

To calculate the capacity of the cylinder, follow these steps:

  1. Enter the height value (h):
    • Enter the height of the cylinder in the indicated field and select the dimension unit if you want.
  2. Enter the radius value (r):
    • Enter the radius of the base of the cylinder in the corresponding field, plus the dimension unit. Optionally, you can also enter the Diameter to obtain the cylinder’s volume.
  3. Calculate cylinder volume:
    • The calculator will automatically perform the calculation and display the volume of the cylinder in the selected unit.

Example of calculating the volume of a cylinder:

  • If we have a cylinder with a height of 10 cm and a radius of 5 cm, we would apply the following mathematical calculations to know the capacity of the cylinder: Volume = π × (5 cm)² × 10 cm obtaining a volume of 785.4 cm³.
  • If we assume we have a cylinder with a diameter of 7 cm and a height of 10 cm. To calculate the interior space, we first need to obtain the radius by dividing the diameter by 2, which would be 3.5 cm. And now, we would apply the calculations of Volume = π × (3.5 cm)² × 10 cm, obtaining an approximate capacity of 384.85 cm³.

🟧 Note: Even if a cylinder is inclined, its volume remains constant. The formula to calculate the volume of an inclined cylinder is exactly the same as that of a right cylinder (Remember that the height is measured perpendicular to the base, not inclined).

In the following image, we can see the formulas to calculate the volume of a right, oblique, and hollow cylinder:

formulas to calculate cylinder volume
Formulas to calculate cylinder volume – By OVACEN

What happens when the volume of a hollow cylinder? You need to calculate the total external volume and subtract the capacity of the hollow space. The formula would be Cylinder Volume = External volume – Internal volume.

What units can you use in the calculator to calculate the volume of a cylinder?

The cylinder volume calculator allows you to enter values in the following units:

  • Millimeters (mm)
  • Centimeters (cm)
  • Meters (m)
  • Kilometers (km)
  • Inches (in)
  • Feet (ft)
  • Yards (yd)
  • Miles (mi)

You can calculate the volume for any type of cylinder, whether small or large, as long as the input values are positive.

But… Can I change the input and output units? Yes, the calculator allows you to change the units to adapt to the metric or imperial system.

🟧 Any questions about the online application to calculate the volume of cylinders you can contact us from the contact section in the footer.

Frequently asked questions about the volume of a cylinder – FAQ


What is the volume of a cylinder?

The volume of a cylinder is the amount of space inside that tube. It is measured in cubic units and is calculated using the formula Volume = π × radius² × height. For example, it is the shape of a cardboard tube, a soda can, a toilet paper roll.

What do “radius” and “height” mean in a cylinder?

The radius refers to the distance from the center of the circular base of the cylinder to its outer edge, and the height is the length between the two circular bases of the cylinder, measured perpendicularly.

What is the formula to calculate the volume of a cylinder?

The formula to calculate the volume of a cylinder is Volume = π × radius² × height, where π (pi) ≈ 3.1416, the radius is the measure of the circular base, and the height is the length between the bases.

What units are used to calculate the volume of a cylinder?

The volume of a cylinder is measured in cubic units, such as; Cubic millimeters (mm³), cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), etc.

How to convert the volume of a cylinder between different units?

To convert between units when calculating the capacity of a cylinder, you can multiply or divide by the corresponding conversion factor (for example, 1 m³ = 1,000,000 cm³).

What should I do if the radius and height are in different units?

Convert all units to a common system (for example, centimeters) before applying the formula, ensuring that the result is correct.

What happens if the cylinder is hollow?

If the cylinder is hollow, that is, it has an internal empty space, first calculate the external volume and subtract the internal hollow space. The formula would be Cylinder Volume = External volume – Internal volume.

Can the volume of an inclined cylinder be calculated?

The calculation of the volume of an inclined cylinder (oblique cylinder) is the same as that of a right cylinder, as long as the radius and height are measured correctly.

What if the base of the cylinder is not a perfect circle?

If the base is not a perfect circle, it is not a true cylinder, and you cannot use the typical formula (Volume = π × radius² × height). You would have to perform other mathematical calculations considering the specific geometry of the base to calculate its volume.

How to calculate the volume of a cylinder if I don’t have the radius?

If you have the diameter instead of the radius, divide the diameter by 2 to obtain the radius. The direct formula using a diameter to calculate the volume of a cylinder would be = π × (diameter ÷ 2)² × height.

What practical applications does the calculation of the volume of a cylinder have?

The calculation of the interior space of a cylinder is useful in the field of engineering (capacity of tanks or pipes), in the design of containers (bottles, cans), in the hydraulic and pneumatic sector (volume of pistons), for mathematics, education, etc.

What is the most common error when calculating the volume of a cylinder?

The most common error is confusing the radius with the diameter. Remember that the radius is half of the diameter.

How does the value of π (pi) affect the calculation?

The value of π affects the precision of the calculation. Use a more precise value of π (like 3.141592) if you need greater accuracy, although for many cases, 3.1416 is sufficient.

How is the volume of a cylinder related to its area?

The volume and area of a cylinder are different concepts. The volume measures the capacity of the cylinder, while the area measures the total surface of the cylinder.

Are there other geometric solids with a shape similar to a cylinder?

Yes, there are other geometric solids that share some characteristics, such as the cone and the prism. But keep in mind that the formulas to calculate the volume are different.