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`Mass = f( "a" , "b" , "h" , "t" , "mD" )`

Enter a value for all fields

The **Weight of a Cone Shell** calculator computes the mass (weight) of the shell of a right circular cone or cone frustum defined by a top radius (**a**) and base radius (**b**), height (**h**) in between, the thickness (**t**) and the mean density (**mD**)..

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

- (
**a**) Top outer radius - (
**b**) Bottom outer radius - (
**h**) Height of the cone or cone section - (
**t**) Thickness of the shell - (
**mD**) The mean density of the substance of the cone (CLICK HERE).

**Cone Shell Weight:**The calculator computes the mass/weight of the cone in kilograms. However, this can be automatically converted to numerous other mass/weight units (e.g. pound, tons) via the pull-down menu. **Note:** For a complete cone, simple let the top radius (**a**) remain as zero.

- Surface Area: cone surface area based on cone height and cone base radius
- Volume: cone volume based on cone height and cone base radius
- Mass: cone mass or weight as a function of the volume and mean density
- Frustum Surface Area: cone frustum surface area based on the two heights and two radii
- Frustum Volume: cone frustum volume based on the two heights and two radii
- Frustum Mass: cone frustum weight or mass based on the cone frustum volume and mean density
- Shell Volume: cone shell volume a.k.a. hollow cone volume
- Shell Mass: cone shell mass or weight a.k.a. hollow cone mass.
- Compute the total surface are of the frustum of a cone: This includes the top and bottom surfaces.
- Compute the lateral surface area (using L) of the frustum of a cone.

**Note:** the frustum is created by parallel planes that go through the cone and are normal (perpendicular) to the center axis of the cone. The planes are separated by the height (h). The formula for the Volume of the Frustum of a cone is as follows:

**V = ^{1}/_{3} • π • h(a^{2}+a•b+b^{2})**

The Mass of a Cone Shell calculator:

- Computes the Volume of the shell

- Computes the Volume of the Outer Shell
- Subtracts the Volume of the Inner Shell

- Uses the volume times the density to compute the mass or weight of the shell

- Frustum Calculator - Equations for volume, mass and surface areas for various frustums.
- Planter Calculator - Equations for home and garden planters.
- Volume Calculator - Volume equations for various geometric shapes
- Mass Weight Calculator - Equations for the mass and weight of objects based on their mean density and shape

The following table contains links to calculators that compute the volume of other shapes:

- Equation 4.42 Spiegel, Murray R. "Chapter 4."
*Mathematical Handbook of Formulas and Tables*. New York: McGraw-Hill, 1968. N. pag. Print.