Sphere Density Calculator
Created by Kaushik RabadiyaLast updated: July 22, 2024Sphere density instantly calculates results using density, radius, volume. Use the calculator above for instant answers in your browser.
Key takeaway: The sphere density calculator needs either radius or volume and mass of a sphere to calculate the density for you. It can also do the maths all the way around. This free Sphere Density Calculator is designed for students, engineers, and science enthusiasts — enter your values above to get instant results.
If you're struggling with questions about spheres, you've come to the right place — the sphere density calculator will help you with all the issues referring to spheres and the density formula of a sphere. Read on and find out more about calculating the density of a sphere and more, e.g., 'how to find the mass of a sphere given density and radius'?
Density and density formula of a sphere
Density is a physical term to define mass per unit volume of space.
The formula for density is:
where:
- — density,
- — mass, and
- — volume.
If we've got two objects (let's say watermelons) that are the same size, but one of them is heavier (i.e., its mass is greater), then it means this one has the greater density than the other.
If we are interested in the density of a sphere, we need to use the volume of the sphere in the main equation.
The volume of a sphere is defined as:
where:
- — volume,
- — radius of a sphere.
Combining the two formulas, we get the density formula of a sphere:
How to use sphere density calculator?
To calculate the desired values using our calculator:
- Input the mass (weight) of a sphere. You can choose whichever unit you want.
- Input one of the two — either volume of a sphere or simply its radius.
- You can look at the picture of the labeled sphere for better understanding.
- The result is ready immediately. You'll also see that the rest of the data was automatically calculated.
More relevant calculators
If you want to know more about density and various shapes, check out our collection:
FAQs
How do I calculate the radius of a sphere given density and mass?
To calculate the radius of a sphere with a given density and mass: Recalculate the data to the same units. For example, if your mass comes in kg, make sure the density refers to kgs as well. Calculate the volume of a sphere with the formula volume = mass/density. Knowing that the volume of a sphere is defined with (4/3) × π × r3, calculate the radius. That's it! You can also use a combined formula right away: mass/density = (4/3) × π × r3
How do I find the mass of a sphere given density and radius?
To count the mass of a sphere with known density and radius: Convert the units so that they're consistent. If your radius comes in cm, density should also refer to centimeters. Knowing radius, you can count the volume of a sphere with the equation volume = (4/3) × π × r3. Then, using the density formula density = mass/volume, you can count the mass by multiplying density and volume: mass = volume × density. You can also use a combined formula: mass = (4/3) × π × r3 × density
How do I find density of a sphere which radius is 3 in and mass 0.5 lb?
To find the density of a sphere with a known radius and mass: Count the volume of a sphere, using the equation volume = (4/3) × π × r3 In our case: volume = (4/3) × π × 33 = 113.1 cu in (cubic inches) Then let's consider the formula for density, which is density = mass/volume. We've already got all the data needed! Let's put that into practice. density = 0.5 lb / 113.1 cu in = 0.004421 lb/cu in
Formula verified against NIST Reference Data — all calculations use deterministic, standards-based formulas.
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