Cylinder Calculator — Volume & Surface Area

Professional cylinder calculator for engineers and students: compute volume, lateral area, total surface, base area, circumference, and mass (with density).

Input controls

Cylinder parameters

Set digits after the decimal (0–10).

Enter the radius or diameter in the chosen unit.

Leaving this blank shows mass as “—”.

How to use this calculator

Pick the measurement units, define whether you are entering the radius or the diameter, then set the height. Adjust the number of decimals to match your desired precision and optionally add density to compute a mass estimate.

  • Choose the measurement unit that matches your source data.
  • Enter the radius or diameter and height using the chosen unit.
  • Precision controls how many digits appear after the decimal point.
  • Add density only when you need a mass estimate; leave it blank to skip.

Methodology

The calculator converts every measurement to meters before evaluating the classic formulas for cylinders. Areas are derived by squaring the length conversion factor, volume by cubing it, and circumference by applying the same linear conversion. When density is provided, it is first normalized (kg/m³, g/cm³, or lb/ft³) so the mass estimate remains in kilograms.

Why this calculator

  • Unit-aware inputs and outputs keep every result in sync with the chosen system.
  • WCAG 2.1 AA accessible controls with inline validation ensure clarity.
  • Formulas are displayed in LaTeX for added transparency and easier auditing.

Related geometry tools

Full original guide (expanded)

The legacy release highlighted accessible focus states, one-click copy/print shortcuts, and visible LaTeX formulas for every output. All of that guidance now belongs here so the calculator remains faithful to the previous experience while embracing the canonical hero and meta structure.

Formulas
Volume:
\[V=\pi r^2 h\]
V = π r² h
Lateral surface:
\[A_L = 2\pi r h\]
A_L = 2π r h
Total surface:
\[A_T = 2\pi r (r+h) = A_L + 2\pi r^2\]
A_T = 2π r (r+h) = A_L + 2π r²
Base area:
\[A_B = \pi r^2\]
A_B = π r²
Circumference:
\[C = 2\pi r\]
C = 2π r
Mass (optional):
\[m = \rho \cdot V\]
m = ρ · V
Citations
Changelog

Version: 0.1.0-draft · Last code update: 2026-01-19

  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido Last Updated: 2026-01-19 Version 0.1.0-draft
Version 1.5.0