Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The length of AB is 6.

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere =

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = x x

                              = x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3