Find the Volume of the Solid Generated by Revolving the Region

question 106

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by the circle $x ^ { 2 } + y ^ { 2 } = 4$ , on the right by the line $x = 2$ , and above by the line $\mathrm { y } = 2$

• A) \(2 \pi\)
• B) \(\frac { 16 } { 3 } \pi\)
• C) \(\frac { 8 } { 3 } \pi\)
• D) \(8 \pi\)

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