Use the Shell Method to Find the Volume of the Solid

question 81

Multiple Choice

Use the shell method to find the volume of the solid below the surface formed by revolving the curve $z = 8 \sin y ( 0 \leq y \leq \pi ) \text { about the } z \text {-axis and above the } x y \text {-plane. }$

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

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Definitions:

Egocentrism

A cognitive trait where an individual is unable to understand or assume any perspective other than their own.

One-dimensional Thinking

A thinking process that is superficial and lacks depth, often focusing on a single aspect of a situation.

Overregularize

Refers to the application of rules of grammar or syntax by children to words that are exceptions to the rule, a common phenomenon in language development.

Language Development

The process by which children come to understand and communicate language during early childhood.