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
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.
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
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
Calculate the area and volume of the following spherical cap.
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
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.