1. What is the Radius of Sphere Formula?

The formula calculates the radius of a sphere when its volume is known. It is derived from the standard volume formula of a sphere by solving for the radius.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of the sphere (meters)
• \( V \) — Volume of the sphere (cubic meters)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula rearranges the standard sphere volume formula \( V = \frac{4}{3}\pi r^3 \) to solve for the radius.

3. Importance of Radius Calculation

Details: Calculating the radius from volume is essential in various fields including geometry, physics, engineering, and astronomy where spherical objects are studied or designed.

4. Using the Calculator

Tips: Enter the volume of the sphere in cubic meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for volume?
A: The calculator uses cubic meters (m³) as the standard unit. If you have volume in other units, convert to cubic meters first.

Q2: How accurate is the calculation?
A: The calculation uses high precision for π (3.14159265358979323846264338327950288) and provides results with 6 decimal places accuracy.

Q3: Can this formula be used for hemispheres?
A: No, this formula is specifically for full spheres. For hemispheres, you would need to adjust the volume calculation accordingly.

Q4: What if I have the diameter instead of volume?
A: If you have the diameter, you can calculate radius directly by dividing diameter by 2, without needing this calculator.

Q5: Are there any limitations to this calculation?
A: The formula assumes a perfect sphere shape. For irregular shapes or non-spherical objects, this calculation won't be accurate.