Title: Spheres
1Spheres
Definition
In space, the set of all points that are a given
distance from a given point, called the center.
A sphere is formed by revolving a circle about
its diameter.
2Spheres special segments lines
Radius A segment whose endpoints are the center
of the sphere and a point on the sphere.
Chord A segment whose endpoints are on the
sphere.
Diameter A chord that contains the spheres
center.
Tangent A line that intersects the sphere in
exactly one point.
Diameter
Tangent
Chord
Radius
3Surface Area Volume of Sphere
Surface Area (SA) 4 p r2
Volume (V)
12 cm
Example
Find the surface area and volume of the sphere.
4Great Circle Hemisphere
Great Circle For a given sphere, the
intersection of the sphere and a plane that
contains the center of the sphere.
Hemisphere One of the two parts into which a
great circle separates a given sphere.
Great Circle
Hemisphere
5Surface Area Volume of Hemisphere
Find the surface area and volume of the following
solid (Hemisphere).
10 cm