LaTeX
V=\frac{1}{3}\pi r^2hVariables
- r: base radius
- h: perpendicular height
How to use this formula
Calculates the volume of a right circular cone.
Important notes
- The volume is one third of the matching cylinder.
Quick example
r=3,h=4 gives V=12π.
Applicability, worked calculation, and verification
Assumptions and domain checks
- The volume is one third of the matching cylinder.
- For the Cone Volume, every denominator must be nonzero, and the numerator and denominator must remain correctly grouped.
- Use one consistent unit system and confirm whether lengths, areas, volumes, and angles use the dimensions implied by the formula.
Worked example
r=3,h=4 gives V=12π.
Common mistakes
- When copying Cone Volume, keep the complete numerator and denominator grouped; a missing brace or parenthesis changes the result.
- For the Cone 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 Cone 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=\frac{1}{3}\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 Cone Volume used for?
Calculates the volume of a right circular cone.
Can I copy this formula as LaTeX?
Yes. Copy V=\frac{1}{3}\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.