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

question 27

Multiple Choice

Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs of about the x-axis. Round your answer to two decimal places.

• A) 2873.51
• B) 4601.39
• C) 3619.11
• D) 5428.67
• E) 5747.02

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Definitions:

Carboxylic Acid

An organic compound containing a carboxyl group (C(O)OH), known for its acidity due to the hydrogen atom's ability to dissociate from the carboxyl group.

Acid Chloride

Organic compounds derived from carboxylic acids by replacing the hydroxyl group with a chlorine atom, making them highly reactive acylating agents.

Anhydride

A compound formed from another compound by the removal of a molecule of water; commonly associated with carboxylic acid anhydrides in organic chemistry.

Nitrile

Organic compounds that contain a cyano group (-C≡N) attached to an alkyl group, used in the manufacture of rubbers, resins, and pharmaceuticals.