The Volume of a Spherical Shell calculator computes the volume of a 
spherical shell with an outer radius and a thickness.
INSTRUCTIONS: Choose units and enter the following parameters:
- (r) Outer Radius of Sphere
- (t) Thickness of Shell
Volume of a Spherical Shell (V): The volume of the shell is returned in cubic meters. However the user can automatically convert the volume to other units (e.g. liters, gallons, or cubic inches) via the pull-down menu.
Uses
The Volume of a spherical shell can compute the amount of materials needed to coat any spherical object from a candy gumball to a submarine bathysphere.
The Math
The equation calculate the Volume of a Sphere is V = 4/3•π•r³. This formula computes the difference between two spheres to represent a spherical shell, and can be algebraically reduced as as follows:
- V = 4/3 • π • (r³ - (r-t)³)
where:
- V is the volume of the spherical shell
- r is the outer radius and
- t is the thickness
Sphere Calculators:
- Sphere Surface Area from Radius
- Sphere Surface Area from Volume
- Sphere Volume from Radius
- Sphere Volume from Circumference
- Sphere Volume from Surface Area
- Sphere Volume from Mass and Density
- Sphere Radius from Volume
- Sphere Radius from Surface Area
- Sphere Weight (Mass) from volume and density
- Sphere Density
- Area of Triangle on a Sphere
- Distance between Two Points on a Sphere
- Sphere Cap Surface Area
- Sphere Cap Volume
- Sphere Cap Weight (Mass)
- Sphere Segment Volume
- Sphere Segment Weight (Mass)
- Sphere Segment Wall Surface Area (without the circular top and bottom ends)
- Sphere Segment Full Surface Area (with the top and bottom circles, aka ends)
- Volume of Spherical Shell
- Mass of Spherical Shell