Find the Volume of the Solid Generated by Rotating the Region

question 7

Multiple Choice

Find the volume of the solid generated by rotating the region R about the x-axis.R is the region bounded by the x-axis, $y = \sec x$ , $x = - \frac { \pi } { 4 }$ ,and $x = \frac { \pi } { 4 }$ .

• A) \(\frac { 45 \pi } { 2 }\)
• B) \(\frac { 9 \pi } { 2 }\)
• C) \(2 \pi\)
• D) \(9 \pi\)