Find the Volume of the Solid Generated by Revolving the Region

question 158

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $$y = 3 \csc x , y = 3 \sqrt { 2 } , \frac { \pi } { 4 } \leq x \leq \frac { 3 \pi } { 4 }$$

• A) \(\pi ^ { 2 } + 6 \pi\)
• B) \(9 \pi ^ { 2 } - 18 \pi\)
• C) \(9 \pi ^ { 2 } + 18 \pi\)
• D) \(3 \pi ^ { 2 } - 9 \pi\)

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Definitions:

Sodium

A chemical element with the symbol Na and atomic number 11, a highly reactive metal.

Sodium

Sodium is a chemical element with the symbol Na and atomic number 11, known for its essential role in human physiology and its presence in salt.

President

The elected head of a republican state or a person holding a position of leadership in certain organizations.

Economy

A system of production, distribution, and consumption of goods and services within a particular geographical region.