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.

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: