Find the Volume of the Solid Generated by Revolving the Region

question 1

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle. $y = 16 - x ^ { 2 } , y = 0 ;$ the line $x = - 4$

• A) \(256 \pi\)
• B) \(\frac { 1,024 } { 3 } \pi\)
• C) \(512 \pi\)
• D) \(\frac { 2,048 } { 3 } \pi\)

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