The Region Bounded by the Given Curves Is Rotated About $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 2 ^ { 2 }$

question 13

Multiple Choice

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.
$x ^ { 2 } + ( y - 2 ) ^ { 2 } = 2 ^ { 2 }$ about the $y$ -axis
Select the correct answer.

• A) \(V = \frac { 32 } { 3 } \pi\)
• B) \(V = \frac { 8 } { 3 } \pi\)
• C) \(V = \frac { 224 } { 3 } \pi\)
• D) \(V = \frac { 160 } { 3 } \pi\)
• E) \(V = \frac { 64 } { 3 } \pi\)

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