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# Calculate The Volume of A Spherical Sector

Last updated: Saturday, June 24, 2023
Select a type of sector below
Closed Spherical Sector
Spherical Cone

A spherical sector is a three-dimensional object that is formed by cutting a sphere with two planes that intersect at the center of the sphere. It consists of a curved surface, two circular bases, and an apex. The volume of a spherical sector depends on the radius of the sphere and the angle of the cut.

Spherical sectors can be found in many objects such as some types of lenses used in optical devices, and they are also used in architecture and engineering for the construction of domes and arches. Some fruits and vegetables like oranges, lemons, and artichokes have a spherical sector-like shape. Additionally, the shape of some celestial bodies like the moon can be approximated to a spherical sector.

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

The formula for determining the volume of a spherical sector is defined as:
$$V$$ $$=$$ $$\dfrac{2}{3}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r^2$$ $$\cdot$$ $$h$$
$$V$$: the volume of the spherical sector
$$r$$: 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 sector when the height and the spherical radius are given.
Hold & Drag
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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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