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`V = f( "a" , "b" , "h" , "t" )`

Enter a value for all fields

The **Volume of the Shell of a Cone** (**Hollow Cone**) calculator computes the volume of the shell of a cone. The volume is a function of the top radius (**a**), bottom radius (**b**), thickness (**t**) and height (**h**) in between.

**INSTRUCTION:** Choose your length units (e.g. inches or meters) and enter the following:

- (
**a**) Outer Radius of Top surface - (
**b**) Outer Radius of Bottom surface - (
**h**) Height between Top and Bottom - (
**t**) Thickness of Shell

**Cone Shell Volume (V)**: The calculator computes the volume in cubic meters (m^{3}). However this can be automatically converted to many other volume units (e.g. gallons or cubic feet) via the pull-down menu. To compute the Weight of the Shell of a Cone, CLICK HERE.

**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})**

- Cone Surface Area based on cone height and cone base radius
- Cone Volume based on cone height and cone base radius
- Cone Mass or Weight as a function of the volume and mean density
- Cone Frustum Surface Area based on the two heights and two radii
- Cone Frustum Volume based on the two heights and two radii
- Cone Frustum Weight or Mass based on the cone frustum volume and mean density
- Cone Shell Volume a.k.a. hollow cone volume
- Cone Shell Mass or Weight a.k.a. hollow cone mass
- Moment of inertia of a cone shaped object based on mass and rotation axis
- Moment of inertia of a cone shaped object based on mass and distance to apex (rotation around apex)
- 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.

- 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:

Other Volume Calculators |
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Various Shapes |
Polygon Columns |
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Cube | Triangular Prism | Triangular | |

Box | Paraboloid | Quadrilateral | |

Cone | Polygon based Pyramid | Pentagon | |

Cone Frustum | Pyramid Frustum | Hexagon | |

Cylinder | Sphere | Heptagon | |

Slanted Cylinder | Sphere Cap | Octogon | |

Ellipsoid | Oblate Spheroid | Nonogon | |

Torus | Capsule | Decagon |

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