Solve the Problem $y = 4 \cos x$ And The $x - a x i s$

question 136

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region bounded by the curve $y = 4 \cos x$ and the $x - a x i s$ , $\frac { \pi } { 2 } \leq x \leq \frac { 3 \pi } { 2 }$ , about the $x$ -axis.

• A) \(8 \pi ^ { 2 }\)
• B) \(16 \pi\)
• C) \(16 \pi ^ { 2 }\)
• D) \(8 \pi ^ { 3 }\)

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Definitions:

Bivalves

Bivalves are a class of marine and freshwater mollusks that have bodies enclosed by a shell consisting of two hinged parts.

Muscular Foot

A muscular structure found in many mollusks used for movement and anchoring.

Gastropods

A class of mollusks that includes snails and slugs, characterized by their univalve shell (in snails) and distinctive crawling locomotion.

Hinged Shell

A shell structure composed of two parts connected by a flexible hinge, allowing the shell to open and close, commonly seen in bivalves like clams and oysters.