Use the Method of Cylindrical Shells to Find the Volume $y=x^{2}, y=0, x=1, x=4 ; \text { about } x=1$

question 47

Multiple Choice

Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the x-axis. $y=x^{2}, y=0, x=1, x=4 ; \text { about } x=1$

• A) \(\frac{255 \pi}{2}\)
• B) \(3413 \pi\)
• C) \(1020 \pi\)
• D) \(\frac{2 \pi}{255}\)
• E) \(255 \pi\)

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