Use Cylindrical Shells to Find the Volume of the Solid

question 313

Multiple Choice

Use cylindrical shells to find the volume of the solid generated when the region R under y = x³ over the interval [0, 3] is revolved about the x-axis.

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Definitions:

Vézelay

A historic village in France, known for the Basilica of Sainte-Marie-Madeleine, a masterpiece of Romanesque architecture and a UNESCO World Heritage Site.

South Portal

The term generally refers to the southern entrance of a cathedral or church, which often features significant architectural details and decorations.

Naturalistic Figures

Artistic representations that aim to realistically depict human figures, focusing on accurate anatomical details and lifelike postures.

Animal Interlace

A decorative technique, common in the art of the Middle Ages, featuring interwoven animals or serpents in complex patterns.