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# Calculate The Volume of A Spherical Zone

Last updated: Saturday, April 29, 2023
Select a spherical shape below
Sphere
Hemisphere
Spherical Cap
Spherical Wedge
Spherical Zone

A spherical zone is a three-dimensional shape that is formed by cutting a sphere with two parallel planes. It consists of a curved surface and two circular bases, and its volume depends on the radius of the sphere and the distance between the planes.

Spherical zones can be seen in various objects such as some types of lenses and mirrors used in optical devices. They are also used in architecture and engineering, as they play a role in the construction of domes and arches. Some natural examples of spherical zones include the moon during certain phases and some types of rock formations.

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

The formula for determining the volume of a spherical zone is defined as:
$$V$$ $$=$$ $$\dfrac{1}{6}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$h$$ $$\cdot$$ $$(3 \cdot r_1^2$$ $$+$$ $$3 \cdot r_2^2$$ $$+$$ $$h^2)$$
$$V$$: the volume of the spherical zone
$$r$$: the radius of the sphere
$$r_1$$: the radius of the top disk
$$r_2$$: the radius of the bottom cap
$$h$$: 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 zone or a frustum of a sphere using the height of the zone and the radii of both the top and bottom disks.
Hold & Drag
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the radius of the top disk
$$r_1$$
$$meter$$
the radius of the bottom cap
$$r_2$$
$$meter$$
the distance between the top and bottom caps
$$h$$
$$meter$$
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