Use Cylindrical or Spherical Coordinates, Whichever Seems More Appropriate, to Evaluate

question 59

Multiple Choice

Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate $\iiint _ { E } z d V$ where $E$ lies above the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and below the plane $z = 16$ .

• A) \(- 160.28\)
• B) \(176.38\)
• C) \(4,289.32\)
• D) \(175.93\)
• E) \(175.37\)

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Definitions:

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A Shinto shrine in Japan dedicated to the goddess Amaterasu-ōmikami, famous for its tradition of rebuilding the shrines every 20 years in a process called Shikinen Sengu.

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Foundational ideas or philosophies that guide the critique, creation, or appreciation of beauty and art.

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A 16th-century Japanese art style characterized by refined rusticity and an appreciation of simplicity and austerity.