1. 10.8 Spheres
Geometry

2. Definitions:
Sphere: the locus of point in space that are a fixed distance from a given point called the Center of a sphere.
Radius of sphere: connects the center of the sphere to any point on the sphere
Hemisphere: Half of a sphere
Great circle: divides a sphere into two hemispheres

3. Diagram:

4. Volume of a Sphere:

5. Example:
Find the volume of the sphere.

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

7. Example:
Find the volume of the hemisphere.

8. Example:
Find the radius of a sphere with volume π ft3

9. Example:
A sporting goods store sells exercise balls in two sizes, standard (22 in. diameter) and jumbo (34 in. diameter). How many times as great is the volume of a jumbo ball as the volume of a standard ball?

10. Example:
A hummingbird eyeball has a diameter of approximately 0.6 cm. How many times as great is the volume of a human eyeball (8.18 cm3) as the volume of a hummingbird eyeball?

11. Surface Area of a Sphere

12. Example:
Find the surface area of a sphere with a diameter of 76 cm

13. Example:
Find the volume of a sphere with a surface area of 324π in2

14. Example:
Find the surface area of a sphere with a great circle that has an area of 49π mi2

15. Example:
Find the surface area of the sphere.

16. Example:
The radius of the sphere is multiplied by Describe the effect on the volume.

17. Example:
The radius of a sphere is divided by 3. Describe the effect on the surface area.

18. Example:
Find the surface area and volume of the composite figure.

19. Example:
Find the surface area and volume of the composite figure.