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

question 103

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs of $y = x , y = 10$ , and $x = 0$ about the $x$ -axis. Round your answer to two decimal places.

• A) \(1809.56\)
• B) \(2787.64\)
• C) \(2094.40\)
• D) \(3141.59\)
• E) \(3619.11\)

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Definitions:

Breathing

The process of taking air into and expelling it from the lungs, essential to supply the body with oxygen and remove carbon dioxide.

Upright Position

A body posture where an individual stands or sits straight, with the spine aligned vertically.

Diaphragm

A dome-shaped muscular partition separating the thorax from the abdomen in mammals, playing a major role in breathing.

Musculomembranous Wall

The layer composed of both muscle and membrane, often referring to structures within the body such as the digestive tract.