1. What is the Radius of a Cone?

The radius of a cone is the distance from the center of the circular base to its edge. It's a fundamental measurement needed for various geometric calculations involving cones.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of the cone's base
• \( V \) — Volume of the cone
• \( h \) — Height of the cone
• \( \pi \) — Pi (approximately 3.14159)

Explanation: The formula derives from the volume formula of a cone (V = ⅓πr²h), rearranged to solve for radius.

3. Importance of Radius Calculation

Details: Knowing the radius is essential for calculating surface area, slant height, and other geometric properties of cones. It's used in engineering, architecture, and manufacturing.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if I know the diameter instead of radius?
A: The radius is simply half of the diameter. You can divide the diameter by 2 to get the radius.

Q2: Does this work for truncated cones?
A: No, this calculator is for regular cones. Truncated cones (frustums) require different calculations.

Q3: What units should I use?
A: Use consistent units - if height is in meters, volume should be in cubic meters, and radius will be in meters.

Q4: How precise is this calculation?
A: The calculation is mathematically exact, but practical precision depends on your input measurements.

Q5: Can I calculate height if I know volume and radius?
A: Yes, you can rearrange the formula to h = 3V/(πr²).