Use the Shell Method to Find the Volume of the Solid

question 40

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$x = 50 - y ^ { 2 } , x = y ^ { 2 } , y = 0$$

• A) \(1250 \pi\)
• B) \(\frac { 625 } { 2 } \pi\)
• C) \(\frac { 625 } { 4 } \pi\)
• D) \(625 \pi\)

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Definitions:

Interpersonal Distance

The physical space between two individuals during social interaction.

Theories of Territoriality

The study of how individuals and groups use space to communicate ownership, identity, and social norms, often leading to territorial behavior.

Inner-City Gangs

Groups that form within urban areas and engage in varying levels of criminal activity, often characterized by territorial claims and identity symbols.

Territorial Disputes

Conflicts arising from the disagreement over the possession or control of land between two or more entities, such as countries, states, or organizations.