10-8 Vocabulary Sphere Center of a sphere Radius of a sphere Hemisphere Great circle

10-8 Spheres Geometry

Sphere Sphere – is the locus of points in space that are a given distance from a point. The point is called the “center of the sphere”. Radius – a segment from the center to a point on the sphere. Chord of a sphere – a segment whose endpoints are on the sphere Diameter – a chord that contains the center

Volume of a Sphere

Example 1A Find the volume of the sphere. Give your answers in terms of π. d = 24 in

Example 1B Find the diameter of a sphere with volume 36,000π cm³

More Definitions If a plane intersects a sphere and contains the center, then the intersection is called a great circle. Every great circle of a sphere separates a sphere into two congruent halves called hemispheres.

Example 2 Find the volume of the hemisphere with radius of 15 m.

Surface Area of a Sphere

Example 3A

Example 3B Find the volume of the sphere with a surface area of 324π in². 3B

Example 4 Find the surface area & volume of the composite figure. Give your answers in terms of π. 5

Assignment

Ex. 2 Find the volume of the hemisphere 1C