Hollow Cylinder Volume Calculator — Pipe or Tube Volume
Find the volume and full surface area of any hollow cylinder — enter the outer radius, inner radius and height in any consistent unit.
cm
cm
cm
Volume of the hollow cylinder in cubic centimetres
4,021.24 cm³
Volume- 1
Outer radius squared
R² = 10² = 100 - 2
Inner radius squared
r² = 6² = 36 - 3
Annular cross-section
R² − r² = 100 − 36 = 64Area of the ring-shaped cross-section divided by π - 4
Volume V = π × h × (R² − r²)
π × 20 × 64 = 4,021.2386
How does this calculator work?
A hollow cylinder's volume is V = π × h × (R² − r²), where R is the outer radius, r is the inner radius, and h is the height. Its total surface area is 2π(R + r)h + 2π(R² − r²), covering the outer face, inner face, and both ring-shaped ends. Enter all three dimensions to get the result instantly.
Formula
How this is calculated
A hollow cylinder — also called a cylindrical shell, pipe, or annular cylinder — is a solid cylinder with a smaller coaxial cylinder removed from its centre. The volume equals the outer cylinder volume minus the inner cylinder volume: V = π·R²·h − π·r²·h = π·h·(R² − r²), where R is the outer radius, r is the inner radius, and h is the height. All three inputs must use the same length unit.
The surface area has five components: the outer lateral face (2πRh), the inner lateral face (2πrh), and two annular (ring-shaped) top and bottom faces totalling 2π(R² − r²). The total surface area is therefore 2π(R + r)h + 2π(R² − r²). Setting r = 0 recovers the solid cylinder formulas: V = πR²h and SA = 2πRh + 2πR².
The calculator requires R > 0, h > 0, and 0 ≤ r < R. Wall thickness is simply R − r. These formulas apply to any consistent unit system — centimetres, metres, millimetres or inches — and are exact for geometric (ideal) cylinders.
Frequently asked questions
Volume = π × h × (R² − r²), where R is the outer radius, r is the inner radius, and h is the height. This equals the outer cylinder volume minus the inner cylinder volume.
Wall thickness equals the outer radius minus the inner radius (R − r). For a pipe with outer radius 10 cm and inner radius 6 cm, the wall thickness is 4 cm.
Yes — set the inner radius r to 0. The formula then reduces to V = π × h × R², which is the standard solid cylinder volume.
Also known as
TG we-Calculate Editorial Team. (2026). Hollow Cylinder Volume Calculator — Pipe or Tube Volume [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/hollow-cylinder-volume-calculator
TG we-Calculate Editorial Team. "Hollow Cylinder Volume Calculator — Pipe or Tube Volume." TG we-Calculate. 2026. https://we-calculate.com/calculator/hollow-cylinder-volume-calculator.
TG we-Calculate Editorial Team, "Hollow Cylinder Volume Calculator — Pipe or Tube Volume," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/hollow-cylinder-volume-calculator
@misc{wecalculate_hollow_cylinder_volume_calculator, title = {Hollow Cylinder Volume Calculator — Pipe or Tube Volume}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/hollow-cylinder-volume-calculator}}, year = {2026}, note = {TG we-Calculate} }
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