1. What is Cone Volume?

The volume of a cone is the amount of space enclosed within the cone. It's calculated using the radius of the base and the height of the cone. This calculator allows you to find the volume using either the circumference or diameter of the base.

2. How Does the Calculator Work?

The calculator uses the cone volume formula:

Where:

• \( V \) — Volume of the cone
• \( r \) — Radius of the base (calculated from either circumference or diameter)
• \( h \) — Height of the cone
• \( \pi \) — Approximately 3.14159

Radius can be calculated from either:

• Circumference: \( r = \frac{C}{2\pi} \)
• Diameter: \( r = \frac{d}{2} \)

3. Importance of Cone Volume Calculation

Details: Calculating cone volume is essential in geometry, engineering, construction, and various manufacturing processes where conical shapes are used.

4. Using the Calculator

Tips: Enter either circumference or diameter (you don't need both), enter the height, and click calculate. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I use both circumference and diameter?
A: The calculator only needs one of these values to calculate the radius. If you provide both, circumference will be used by default.

Q2: What units should I use?
A: Use consistent units for all measurements. The result will be in cubic units of whatever unit you used for input.

Q3: How accurate is the calculation?
A: The calculation is mathematically precise, using π to floating-point precision. Results are rounded to 4 decimal places.

Q4: What if my cone is truncated?
A: This calculator is for complete cones only. For truncated cones (frustums), a different formula is needed.

Q5: Why is there a 1/3 in the formula?
A: The volume of a cone is exactly one-third the volume of a cylinder with the same base and height.