1. What is the Lead Sphere Weight Formula?

The lead sphere weight formula calculates the weight of a solid lead sphere based on its radius. It combines the volume formula for a sphere with the density of lead to determine the mass.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of the sphere (cm)
• \( \pi \) — Mathematical constant (approximately 3.14159)
• 11.34 — Density of lead (g/cm³)

Explanation: The formula first calculates the volume of the sphere, then multiplies by the density of lead to get the weight in grams.

3. Importance of Weight Calculation

Details: Calculating the weight of lead spheres is important for various applications including manufacturing, engineering projects, ballistics, fishing weights, and radiation shielding applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the density of lead 11.34 g/cm³?
A: This is the standard density value for pure lead at room temperature, representing its mass per unit volume.

Q2: Can this calculator be used for other materials?
A: This specific calculator is designed for lead spheres. For other materials, you would need to replace the density value with the appropriate material density.

Q3: What if I have the diameter instead of radius?
A: Simply divide the diameter by 2 to get the radius before entering it into the calculator.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, assuming perfect spherical shape and pure lead composition.

Q5: Can this be used for hollow spheres?
A: No, this calculator is for solid lead spheres only. For hollow spheres, you would need to calculate the volume of the outer sphere minus the volume of the inner hollow space.