Find the Volume of the Solid Generated by Revolving the Shaded

question 58

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $y$ -axis
$x = 2 \tan \left( \frac { y } { 7 } \right)$

• A) \(14 \pi - \frac { 7 } { 2 } \pi ^ { 2 }\)
• B) \(28 - 7 \pi\)
• C) \(28 \pi - 7 \pi ^ { 2 }\)
• D) \(7 \pi + 7 \pi ^ { 2 }\)

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