Select a spherical shape below
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:
\(SA\): 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.
the radius of the top disk
the radius of the bottom cap
the distance between the top and bottom caps
