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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