1. 10-8 Vocabulary Sphere Center of a sphere Radius of a sphere
Hemisphere
Great circle

2. 10-8 Spheres
Geometry

3. 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

4. Volume of a Sphere

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

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

7. 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.

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

9. Surface Area of a Sphere

10. Example 3A

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

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

13. Assignment

14. Ex. 2
Find the volume of the hemisphere 1C