Use the Theorem of Pappus to Find the Volume of the Solid

question 2

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid obtained by revolving the region bounded by the graphs of $y = 4 - x ^ { 2 } , y = 4$ , and $x = 2$ about the $y$ -axis. Select the correct answer.

• A) \(8 \pi\)
• B) \(\frac { 32 } { 3 } \pi\)
• C) \(4 \pi\)
• D) \(\frac { 16 } { 3 } \pi\)

---

Definitions:

Percentages

A fraction or ratio expressed as a part of 100, used to denote proportions or to compare quantities.

Pie Charts

Graphical representations of data in a circular format, with slices to illustrate proportional sizes of different categories within a whole.

Labeling

The act of assigning a name, category, or description to individuals, groups, or objects, which can influence perceptions and behaviors.

Legend

A set of symbols or explanatory notes appearing on a map or document.