Find the Volume of the Solid Generated by Revolving the Region

question 251

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $3 x + y = 6$ , below by the $x$ -axis, and on the left by the $y$ -axis, about the line $x = - 2$

• A) \(32 \pi\)
• B) \(5 \pi\)
• C) \(24 \pi\)
• D) \(64 \pi\)