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`M = [1/3 pi * "h" ^2 (3* "r" - "h" )] * "mD" `

Enter a value for all fields

The **Mass or Weight of a Sphere Cap** calculator computes the mass of a section of a sphere that includes the surface (i.e. a sphere cap - see diagram).

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

- (
**r**) Radius of Sphere - (
**h**) Height of the Sphere Cap - (
**mD**) Mean Density of the material in the cap

**Mass or Weight of Sphere Cap(M):** The calculator returns the mass in kilograms. However, this can be automatically converted to compatible units via the pull-down menu.

The **Sphere Cap Weight (Mass)** formula provides the weight of the cap of a sphere defined by a depth (h) from the surface in a sphere defined by a radius (r) with a mean density (mD) .

This formula computes the volume of the geometric shape based on the input parameters. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.

`mass = mu_(density) * volume`

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).

The formula for the volume of a sphere cap is:

where:

- V is the volume of the sphere cap
- r is the radius of the sphere
- h is the height of the cap

- 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