Unit 5, Lesson 6

What does Theorem 11-10 (Surface Area of a Sphere) state?

The surface area of a sphere is four times the product of pi and the square of the radius of the sphere (S.A. = 4 times pi times r^2).

What does Theorem 11-11 (Volume of a Sphere) state?

The volume of a sphere is four thirds the product of pi and the cube of the radius of the sphere (V = 4/3 times pi times r^3).

hemisphere

half of a sphere; a great circle divides a sphere into two hemispheres

diameter of a sphere

a segment passing through the center with endpoints on the sphere

radius of a sphere

a segment that has one endpoint at the center and the other endpoint on the sphere

great circle

the circle resulting from the intersection of a plane and a sphere in more than one point in which the center of the circle is also the center of a sphere

circumference of a sphere

the circumference of a great circle

center of a sphere

the given point in the middle of a sphere

sphere

the set of all points in space equidistant from a given point