1. What is the Volume of Sphere Formula?

The volume of a sphere can be calculated from its surface area using the formula that relates these two fundamental geometric properties of a sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of Sphere (m³)
• \( SA \) — Surface Area of Sphere (m²)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula derives the volume of a sphere from its surface area by first finding the radius from the surface area formula, then substituting into the volume formula.

3. Importance of Volume Calculation

Details: Calculating the volume of a sphere from its surface area is important in various fields including physics, engineering, architecture, and manufacturing where spherical objects are involved.

4. Using the Calculator

Tips: Enter the surface area of the sphere in square meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is pi used in the formula?
A: Pi (π) is a fundamental mathematical constant that relates the circumference of a circle to its diameter, and is essential in all spherical geometry calculations.

Q2: What are the units for volume calculation?
A: The volume is calculated in cubic meters (m³) when surface area is provided in square meters (m²). Other units can be used as long as they are consistent.

Q3: Can this formula be used for hemispheres?
A: No, this formula is specifically for complete spheres. For hemispheres, you would need to divide the result by 2.

Q4: What is the relationship between surface area and volume?
A: For a sphere, the surface area is proportional to the square of the radius, while the volume is proportional to the cube of the radius.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect spheres. The accuracy depends on the precision of the input surface area measurement.