The Volume of the Solid Obtained by Rotating the Plane $y = x ^ { 4 } , y = 1 , \text { and } x = 0$

question 155

Multiple Choice

The volume of the solid obtained by rotating the plane region enclosed by $y = x ^ { 4 } , y = 1 , \text { and } x = 0$ about the x = 1 is

• A) \(\frac { 7 \pi } { 15 }\)
• B) \(\frac { 2 \pi } { 3 }\)
• C) \(\frac { 14 \pi } { 15 }\)
• D) \(\frac { 14 } { 15 }\)
• E) \(\frac { 14 \pi } { 3 }\)
• F) \(\frac { 7 \pi } { 5 }\)
• G) \(\frac { 14 \pi } { 5 }\)
• H) \(\frac { 7 } { 15 }\)