With the sphere density calculator, you can instantly find the density of a sphere by giving its mass and radius.
Density is one of the most important properties of matter. It represents the amount of mass that is contained in a particular volume. In this article, we'll go through the specific case of sphere density and how to calculate it. Keep reading to also learn:
How to obtain the sphere density formula;
How to find the radius of a sphere, given its density and mass; and
How to calculate the mass of a sphere, given its density and radius.
Calculating the density of a sphere
Sphere density is a measure of mass per unit volume of a sphere. If we recall the general formula for calculating the density of any substance, all you need to know is the mass and volume:
- – Density of the substance;
- – Amount of mass of the substance; and
- – Volume occupied by the substance.
We can customize this expression to the specific case of a sphere by using the formula to find the volume of a sphere or radius :
Check out our sphere volume calculator for a detailed explanation of how to find the volume of a sphere
If we replace this in the general formula for density, we get the following expression:
This is the sphere density formula. Notice that if we know the mass and radius of a sphere, we can easily determine its density by using this expression.
We can also use this formula to calculate the mass of a sphere if we know its density and radius. By rearranging the previous formula:
Another possibility is that you need to find the radius of the sphere, given its density and mass. In that case, you can use this variant of the sphere density formula:
💡 What about finding the density of the Earth? You can do so with the volume to mass calculator, where we've included some astronomy-related materials 🌎
How to use the sphere density calculator
You can use this sphere density calculator to determine a sphere's density, mass, or radius. To find the density of a sphere with this tool:
Input the mass in the
Next, enter either the
Massof the sphere.
The calculator will display its
That's it! 😉
Remember, you can use any of our tools in any direction. Then, it's also possible to use this calculator to find the mass of a sphere given its density and radius, or the radius of a sphere given its density and mass. Go test it yourself!