LaTeX
V=\pi r^2hVariables
- r: radius
- h: height
How to use this formula
Calculates the volume of a right circular cylinder.
Important notes
- Use cubic units.
Quick example
r=2,h=5 gives V=20π.
Applicability, worked calculation, and verification
Assumptions and domain checks
- Use one consistent unit system and confirm whether lengths, areas, volumes, and angles use the dimensions implied by the formula.
Worked example
r=2,h=5 gives V=20π.
Common mistakes
- Before substituting values into Cylinder Volume, map each variable to its definition and preserve every sign, exponent, subscript, and grouping mark.
- For the Cylinder Volume, do not report a length, area, or volume with the wrong unit dimension, and keep intermediate precision until the final rounding step.
Continue the workflow
Use Cylinder Volume in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
V=\pi r^2h. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- Algebra and Trigonometry 2eOpenStax, Rice University — Reviewed algebra, functions, sequences, trigonometry, and analytic geometry definitions and examples.
Frequently asked questions
What is the Cylinder Volume used for?
Calculates the volume of a right circular cylinder.
Can I copy this formula as LaTeX?
Yes. Copy V=\pi r^2h or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.