Question

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

Answer 1

Answer:

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 = $\frac{4}{3}$$\pi$$r^{3}$

where r is the radius of the sphere.

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

volume of sphere = $\frac{4}{3}$ x $\frac{22}{7}$ x $(6)^{3}$

                              = $\frac{88}{21}$ x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.