Use the Shell Method to Find the Volume of the Solid

question 21

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$y = 9 | x | , y = 9$$

• A) \(3 \pi\)
• B) \(54 \pi\)
• C) \(108 \pi\)
• D) \(8748 \pi\)

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Definitions:

Vertices

Plural of vertex, referring to the corners or angular points where two or more edges meet in a geometrical shape or graph.

Center

In geometry, it refers to the midpoint of a circle or sphere, equidistant from all points on the perimeter or surface.

Standard Form

A way of writing down very large or very small numbers easily. In algebra, it refers to the usual way of writing down equations, focusing on linear equations with the general form Ax + By = C.

Ellipse

A shape representing all the points for which the sum of the distances from two fixed points (the foci) is constant.