12.6 – Surface Area and Volume of Spheres

Sphere: The set of all points in space equidistant from a given point

Radius: Length from the center of the sphere to all the sides of the sphere

Hemisphere: Half a sphere

Great Circle: Plane that contains the center of the sphere, the radius is the same as the one for the sphere

Surface Area of a Sphere:

Surface Area of a Sphere:

24SA r

Volume of a Sphere:

34

3V r

1. Find the surface area and volume.

24SA r24 (6)SA

2144SA cm

1. Find the surface area and volume.

34

3V r

346

3V

4216

3V

3288V cm

2. Find the surface area.

24SA r24 (11)SA

2484SA in11 11

2. Find the surface area.

11 11

34

3V r

3411

3V

41331

3V

31774.67V cm

Find the surface area and volume of Earth if the diameter is 7,926 miles