Find the Volume of the Solid Generated by Revolving the Region

question 39

Multiple Choice

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

• A) \(2 \pi ^ { 2 }\)
• B) \(4 \pi ^ { 2 }\)
• C) \(2 \pi ^ { 3 }\)
• D) \(4 \pi\)

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Definitions:

Section 402A

A section of the Restatement (Second) of Torts relating to the liability of sellers for harm caused by defective products.

Design Defects

Flaws in the intended design of a product that pose a risk to consumers or fail to perform safely as intended, leading to potential legal liability.

Strict Liability

A legal doctrine that holds a party responsible for their actions or products without the plaintiff having to prove negligence or fault.

Majority Rule

A decision-making process where the opinion or decision supported by more than half of the members in a group prevails.