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A hemisphere is each of the parts obtained by cutting a sphere by a plane through its center.

### Volume of a Hemisphere

The dome of a cathedral has a hemispherical form with a diameter of 50 m. If the restoration costs 4,712,388.98

Calculate the volume of a hemisphere with a radius 10 cm.

## Spherical Wedge

The spherical wedge is the part of a sphere between two planes which intersect at the diameter.

### Volume of a Spherical Wedge

The spherical lune is the surface area of a sphere between two planes which intersect at the diameter.

### Area of a Spherical Lune

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## Spherical Cap

A spherical cap is each of the parts of the sphere determined by a secant plane.

## Example

Calculate the area and volume of the following spherical cap.

## Spherical Segment

A spherical segment is the part of the sphere between two parallel cutting planes.

The surface area of the spherical segment (excluding the bases) is called the zone.

## Example

Calculate the area of the zone and the volume of a spherical segment whose radius circles are 10 and 8 cm and the distance between them is 6 cm.

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