1. What is Cone Volume?

The volume of a cone is the amount of space enclosed within the cone. It's one-third the volume of a cylinder with the same base and height.

2. How Does the Calculator Work?

The calculator uses the cone volume formula:

Where:

• \( V \) — Volume in cubic meters (m³)
• \( r \) — Radius of the base in meters (m)
• \( h \) — Height of the cone in meters (m)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the area of the base (πr²), multiplies by height, then takes one-third of that product.

3. Importance of Volume Calculation

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

4. Using the Calculator

Tips: Enter the radius and height in meters. Both values must be positive numbers. The calculator will compute the volume in cubic meters.

5. Frequently Asked Questions (FAQ)

Q1: What if my cone is slanted?
A: This formula uses the perpendicular height, not the slant height. For a right circular cone, measure the perpendicular distance from base to apex.

Q2: Can I use different units?
A: Yes, but all measurements must be in the same units. The result will be in cubic units of whatever you input.

Q3: How accurate is this calculation?
A: The formula is mathematically exact for perfect cones. Real-world accuracy depends on measurement precision.

Q4: Does this work for truncated cones?
A: No, this is for complete cones. Truncated cones (frustums) require a different formula.

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