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# Calculate The Surface Area 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 or a frustum of a sphere is the portion of a sphere that's been cut by two parallel planes. The surface area of a spherical zone or a frustum of a sphere is the sum of the areas of the circular top and bottom disks plus the lateral curved area.

The shape of a spherical zone is similar to a portion of a fruit, such as a watermelon or cantaloupe, that has been cut by two parallel slices. Other examples of objects that have a similar shape include certain types of lamps, decorative objects, and architectural elements such as domes, arches and camera lenses.

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

The formula for determining the surface area of a spherical zone is defined as:
$$SA =2$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r$$ $$\cdot$$ $$h$$ $$+$$ $$\pi$$ $$\cdot$$ $$r_1^2$$ $$+$$ $$\pi$$ $$\cdot$$ $$r_2^2$$
$$SA$$: the surface area 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 surface area is: $$square \text{ } meter\text{ }(m^2)$$

## Find $$SA$$

Use this calculator to determine the surface area 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.
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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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