Math & Conversions

Cone Volume Calculator

Calculate the volume of a right circular cone from its radius and height. The tool applies one-third times pi times radius squared times height and rounds to four decimals. Free, runs in your browser, no sign-up.

What this calculator does

The Cone Volume Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Calculate the volume of a right circular cone from its radius and height. The tool applies one-third times pi times radius squared times height and rounds to four decimals. Free, runs in your browser, no sign-up. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.

Cone Volume Calculator

Result

—
Volume

About Cone Volume Calculator

The Cone Volume Calculator uses the formula V = (1/3) × π × r² × h, where r is the base radius and h is the height. It uses the built-in value of π for the constant.

Enter the radius and height in matching units and the result is returned in cubic units, rounded to four decimal places. Negative dimensions are not allowed.

Formula & Mathematical Calculation

Volume = f(Radius, Height)

Calculated according to standard math formulas implemented in the calculator core.

Calculation Example

With a radius of 3 and a height of 5, the volume is (1/3) × π × 3² × 5 = π × 15 ≈ 47.1239.

Key Benefits

  • Uses the built-in value of pi rather than a manually rounded approximation.
  • Returns the volume rounded to four decimal places.
  • Rejects negative radius or height values.
  • Free and runs in the browser with no sign-up.

How to Use this Calculator

  1. Enter the radius
    Type the base radius into the Radius field.
  2. Enter the height
    Type the cone's height into the Height field, in the same unit as the radius.
  3. Calculate
    Press Calculate to see the Volume.

Assumptions & Limitations

What the calculation assumes

  • Every value you enter is treated as an exact, known amount.
  • Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
  • Results use standard published formulas and account only for the values entered above.
  • Rounding is applied for display; the underlying calculation uses your full precision.
  • Results are returned in the same units you enter, unless the tool states the output unit.

What it does not cover

  • Cone Volume Calculator produces a calculated result for reference and learning, not a certified or official measurement.
  • Real-world outcomes differ when tolerances, rounding rules or local standards apply.
  • Definitions and standards vary by region and change over time; verify the convention that applies to your case.
  • Figures are only as accurate as the inputs you supply — check them before acting on the result.
  • For work where the result carries real consequences, confirm it against an authoritative source.

Frequently Asked Questions

The radius. If you know the diameter, enter half of it into the Radius field.

It uses the environment's built-in pi constant, so the constant is not manually rounded.

The cubic form of your input unit; a radius and height in centimeters give a volume in cubic centimeters.

No. Negative dimensions are rejected because a cone cannot have negative measurements.

Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.