1. What is the Volume of Cone Formula?

The volume of a cone is calculated using the formula: Volume = (Base Area × Height) / 3. This formula provides the three-dimensional space enclosed by the entire surface of the cone.

2. How Does the Calculator Work?

The calculator uses the volume formula:

Where:

• \( V \) — Volume of Cone (m³)
• \( A_{Base} \) — Base Area of Cone (m²)
• \( h \) — Height of Cone (m)

Explanation: The formula calculates the volume by multiplying the base area with the height and dividing by 3, as a cone occupies exactly one-third of the volume of a cylinder with the same base and height.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for various applications including engineering design, construction, manufacturing, and scientific research where cone-shaped objects or containers are involved.

4. Using the Calculator

Tips: Enter the base area in square meters (m²) and height in meters (m). All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 3 in the formula?
A: A cone occupies exactly one-third of the volume of a cylinder with the same base area and height, hence the division by 3.

Q2: What units should I use for the inputs?
A: Use consistent units - typically square meters for area and meters for height. The calculator will output volume in cubic meters.

Q3: Can I use this for truncated cones?
A: No, this formula is for regular cones. Truncated cones (frustums) require a different formula accounting for both base areas.

Q4: What if I only know the radius?
A: If you know the radius instead of base area, first calculate base area using πr², then use this calculator.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cones. Real-world accuracy depends on the precision of your measurements.