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Calculate The Volume of A Spherical Cone

Last updated: Saturday, June 24, 2023
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Spherical Cone

A spherical cone is a three-dimensional geometric shape that is formed by cutting a sphere with a plane that passes through its center and intersects its surface. It consists of a curved surface and a circular base that is not perpendicular to the axis of the cone. The shape of a spherical cone can vary depending on the angle of the cut.

Spherical cones can be found in many objects such as some types of lenses and mirrors used in optical devices. They are also used in architecture and engineering for the construction of domes and arches. Some natural examples of spherical cones include the shape of some types of mountains and hills, as well as the shape of certain fruits and vegetables like pineapples.

Easily calculate the volume of a spherical cone with step-by-step guidance using our free calculator below.

The formula for determining the volume of a spherical cone is defined as:
\(V\) \(=\) \(\dfrac{2}{3}\) \(\cdot\) \(\pi\) \(\cdot\) \(r^2\) \(\cdot\) \(h\)
\(V\): the volume of the spherical cone
\(r\): the radius of the sphere
\(h\): the distance between the top and bottom caps
The SI unit of volume is: \(cubic \text{ } meter\text{ }(m^3)\)

Find \(V\)

Use this calculator to determine the volume of a spherical cone with height and the spherical radius given.
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the radius of the sphere
\(r\)
\(meter\)
the distance between the top and bottom caps
\(h\)
\(meter\)
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