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Find the Volume of the Solid Obtained by Rotating the Region

Question 67

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by y=2x4 and y=2xy=2 \sqrt[4]{x} \text { and } y=2 x about the line y=2.y=2 .


A) 16π15\frac{16 \pi}{15}
B) 29\frac{2}{9}
C) 116\frac{1}{16}
D) π9\frac{\pi}{9}
E) 8π9\frac{8 \pi}{9}

Correct Answer:

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