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). Supports multiple units and shows formulas in LaTeX.

Full original guide (expanded)

Audit: Complete

Formula (LaTeX) + variables + units

This section shows the formulas used by the calculator engine, plus variable definitions and units.

Formula (extracted LaTeX)

\[V=\pi r^2 h\]

V=\pi r^2 h

Formula (extracted LaTeX)

\[A_L = 2\pi r h\]

A_L = 2\pi r h

Formula (extracted LaTeX)

\[A_T = 2\pi r (r+h) = A_L + 2\pi r^2\]

A_T = 2\pi r (r+h) = A_L + 2\pi r^2

Formula (extracted LaTeX)

\[A_B = \pi r^2\]

A_B = \pi r^2

Formula (extracted LaTeX)

\[C = 2\pi r\]

C = 2\pi r

Formula (extracted LaTeX)

\[m = \rho \, V\]

m = \rho \, V

Formula (extracted text)

For a right circular cylinder with radius \(r\) and height \(h\): Volume: \[ V=\pi r^2 h \] Lateral surface: \[ A_L = 2\pi r h \] Total surface: \[ A_T = 2\pi r (r+h) = A_L + 2\pi r^2 \] Base area: \[ A_B = \pi r^2 \] Circumference: \[ C = 2\pi r \] If density \( \rho \) is given, mass: \[ m = \rho \, V \]

Variables and units

No variables provided in audit spec.

Sources (authoritative):

Quantities and units — Part 1 — iso.org · Accessed 2026-01-19
https://www.iso.org/standard/85237.html
Home — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/
Math — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/math
Geometry — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/subcategories/geometry
Cylinder — MathWorld — mathworld.wolfram.com · Accessed 2026-01-19
https://mathworld.wolfram.com/Cylinder.html
Sphere Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/sphere-calculator
Cone Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/cone-calculator
Prism Calculator — calcdomain.com · Accessed 2026-01-19
https://calcdomain.com/prism-calculator

Changelog

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

0.1.0-draft · 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 on 2026-01-19
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Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft

Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog

0.1.0-draft — 2026-01-19: Initial draft (review required).