# Hemisphere

A hemisphere is each of the parts obtained by cutting a sphere by a plane through its center. ### Surface Area of a Hemisphere ### Volume of a Hemisphere #### Examples

The dome of a cathedral has a hemispherical form with a diameter of 50 m. If the restoration costs \$300 per m2, what is the total cost of the restoration? 15,707.96 · 300 = \$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 ## Spherical Cap A spherical cap is each of the parts of the sphere determined by a secant plane. ### Area of a Spherical Cap ### Volume of a Spherical Cap #### 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.

### Area of a Spherical Zone ### Volume of the Spherical Segment #### 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.   