Hollow Sphere Calculator
Calculate the volume of material in a hollow sphere.
How to Use the Hollow Sphere Calculator
Enter outer and inner radii to calculate the volume of material in a spherical shell.
Practical Example
With outer radius 5 and inner radius 4, the shell material volume is about 255.52 cubic units.
Factors That Affect the Result
The inner radius must be smaller than the outer radius. Confirm whether your measurements are radii or diameters.
Frequently Asked Questions
What is a hollow sphere?
A spherical shell with an empty inner region.
Can the inner radius be zero?
Yes; the result then becomes the volume of a solid sphere.
What units are returned?
Cubic units.
Related Tools
- Hollow Cylinder Calculator
- Sphere Surface Area Calculator
- Hemisphere Volume Calculator
- Ellipsoid Volume Calculator
- Volume Calculator
Calculating a Hollow Sphere
The material volume of a hollow sphere is the difference between the outer and inner sphere volumes: (4/3)π(R³ − r³). It is useful for spherical shells, vessels and hollow components.
Use radii measured from the same center and keep both dimensions in one unit. Because radius is cubed, small measurement differences can meaningfully affect the result. Manufacturing tolerances, openings and fittings are not included in the ideal formula, so adjust separately when estimating real material usage.