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`m = "mD" * pi* "h" /6 * ( 3* "r1" ^2 +3* "r2" ^2 + "h" ^2)`

Enter a value for all fields

The **Mass or Weight of a Sphere Segment Weight** calculator computes the weight or mass of a slice of a sphere. * Sphere Segment *

**INSTRUCTIONS:** Choose units and enter the following:

- (
**r**) Radius of Top of Sphere_{1} - (
**r**) Radius of Bottom of Sphere_{2} - (
**h**) Height of Sphere Segment (the distance between the two planes) - (
**mD**) This is the density of the material.

**Mass or Weight of a Sphere Segment (m):** The calculator returns the mass in kilograms. However, this can be automatically converted to other mass or weight units (e.g. pounds, tons) via the pull-down menu.

A sphere slice or segment could be considered the frustum of a sphere. The inputs are upper radius, lower radius, the distance between and the density. The assumption is that both slices are in parallel planes. (See diagram) The volume is calculated and then the weight/mass is calculated using a mean density (mD) of the substance of the slice.

This formula computes the volume of segment or slice of a sphere as follows:

`V = pi*h/6 * ( 3*r_1^2 +3*r_2^2 + h^2)`

With the volume, this formula then executes the simple mass equation below to compute the approximate mass of the object.

The mean density (`mu_(density)`) of many common substances, elements, liquids and materials can be found by clicking** HERE **(e.g. the `mu_(density) (water)` is 1000.0 kg/m³).

- Sphere Surface Area based radius (r)
- 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