Mass Of Solid Sphere Calculator

Formula Used:

\[ \text{Mass of Solid Sphere} = \frac{4}{3} \times \pi \times \text{Density} \times \text{Radius of Sphere}^3 \]

Mass of Solid Sphere:

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1. What is the Mass of Solid Sphere Formula?

The mass of a solid sphere can be calculated using the formula that relates mass to density and volume. For a sphere, the volume is calculated as \(\frac{4}{3}\pi r^3\), and mass is then density multiplied by volume.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Mass} = \frac{4}{3} \times \pi \times \rho \times r^3 \]

Where:

\( \rho \) — Density of the material (kg/m³)
\( r \) — Radius of the sphere (m)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula calculates the volume of the sphere first, then multiplies by the density to get the mass.

3. Importance of Mass Calculation

Details: Calculating the mass of a solid sphere is important in physics, engineering, and materials science for determining weight, inertia, and other physical properties.

4. Using the Calculator

Tips: Enter density in kg/m³ and radius in meters. All values must be valid (density > 0, radius > 0).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for density and radius?
A: Density should be in kg/m³ and radius in meters for the result to be in kilograms.

Q2: Can I use different units?
A: Yes, but you'll need to ensure consistent units throughout, and the mass result will be in the corresponding mass unit.

Q3: What if the sphere is hollow?
A: This formula is for solid spheres only. For hollow spheres, you would need to subtract the volume of the inner hollow part.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for ideal solid spheres with uniform density.

Q5: Can this be used for any material?
A: Yes, as long as you know the density of the material and the sphere is solid and uniform.