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Hollow Cylinder Material Volume and Wall Thickness

Hollow Cylinder Material Volume and Wall Thickness. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

Formula & worked example
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How to use this calculator

Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

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Formula and method

Example in initial displayed units: Outer diameter (D) 10, Inner diameter (d) 6, Height (h) 4 gives Outer radius (R) 5, Inner radius (r) 3, Thickness 2, Material volume 201.06193.

Vmaterial = π(R²−r²)h; t = R−r = (Douter−Dinner)/2

Worked example

Enter these known values and leave the other values blank.

Outer diameter (D): 10 cm
Inner diameter (d): 6 cm
Height (h): 4 cm

Thickness: 2 cm
Material volume: 201.062 cm³

Assumptions and limitations

This result is the material between coaxial cylinders, not the inner capacity. Outer radius exceeds inner radius, perpendicular height is positive, and a zero inner radius is allowed as the solid-cylinder boundary.
Select units before entering dimensions. Clear an unknown result before solving backward, and supply enough independent measurements. Display rounding does not represent measurement uncertainty.
Calculations use 64 significant digits and full-precision π. Original reference drawings explain dimensions and are not drawn to the entered scale.

Common questions

Does this volume measure the hole or the material?

It measures the material. Inner capacity is πr²h, while material volume subtracts that inner cylinder from the outer cylinder.

References

The US fluid ounce uses one 128th of the exact US liquid gallon, replacing the rounded captured reciprocal factor. The US customary cup uses one sixteenth of the exact US liquid gallon, replacing the rounded captured cup volume. Bookify replaces the captured rounded US gallon with the exact 3.785411784-liter definition.

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