Use the Method of Cylindrical Shells to Find the Volume $y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ;$

question 4

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 specified axis. $y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ;$ about $x = 1$

• A) \(18,150 \pi\)
• B) \(3,025 \pi\)
• C) \(\frac { 6 \pi } { 3,025 }\)
• D) \(3,413 \pi\)
• E) \(\frac { 3,025 \pi } { 6 }\)

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