Hollow Cylinder Calculator

Enter your hollow cylinder's outer radius, inner radius, and height — or use wall thickness instead of inner radius — and the Hollow Cylinder Calculator instantly computes the volume, along with the outer and inner cylinder volumes for comparison. Perfect for pipes, tubes, and thick-walled containers.

cm

The radius of the outer circle of the hollow cylinder.

cm

The radius of the inner hollow space. Must be less than the outer radius.

cm

Thickness of the cylinder wall. Inner radius = Outer radius − Thickness.

cm

The height (length) of the hollow cylinder.

Results

Volume of Hollow Cylinder

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Outer Cylinder Volume

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Inner Cylinder Volume (removed)

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Inner Radius Used

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Wall Thickness

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Hollow vs. Solid Volume Breakdown

Frequently Asked Questions

What is a hollow cylinder?

A hollow cylinder is a three-dimensional shape formed by subtracting a smaller inner cylinder from a larger outer cylinder that share the same central axis. Common real-world examples include pipes, tubes, thick-walled jars, and cylindrical containers with walls.

How do I calculate the volume of a hollow cylinder?

The volume of a hollow cylinder is calculated by subtracting the volume of the inner cylinder from the outer cylinder: V = π × h × (R² − r²), where R is the outer radius, r is the inner radius, and h is the height. Alternatively, if you know wall thickness t, the inner radius is r = R − t.

What is the volume of a hollow cylinder with R = 8, r = 4, and h = 12?

Using the formula V = π × h × (R² − r²): V = π × 12 × (64 − 16) = π × 12 × 48 ≈ 1809.56 cubic units. Our calculator computes this automatically when you enter those values.

How do I calculate the thickness of a hollow cylinder?

Wall thickness is simply the difference between the outer radius and the inner radius: t = R − r. If you know the thickness instead of the inner radius, the inner radius can be found as r = R − t. This calculator accepts both inputs.

What units does this hollow cylinder calculator support?

This calculator supports millimeters (mm), centimeters (cm), meters (m), inches (in), and feet (ft). The volume result is returned in the corresponding cubic unit (e.g., cm³ or in³).

Can I use wall thickness instead of inner radius?

Yes. Select 'Wall Thickness' as your input mode and enter the thickness of the cylinder wall. The calculator will automatically compute the inner radius as R − t and use it in the volume formula.

What are common applications of hollow cylinder volume calculations?

Hollow cylinder volume calculations are used in plumbing (sizing pipes), manufacturing (estimating material usage for tubes), construction (concrete columns with hollow cores), and engineering (hydraulic cylinders, engine components). Knowing the volume helps estimate weight, capacity, and material costs.

Can I calculate the volume of an asymmetric hollow cylinder?

This calculator assumes a standard right hollow cylinder where both inner and outer cylinders share the same central axis and the top and bottom faces are flat and parallel. For asymmetric or oblique hollow cylinders, the geometry becomes more complex and would require additional parameters.

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