Set Up and Evaluate the Integral That Gives the Volume $y = x ^ { \frac { 3 } { 4 } } , y = 1$

question 64

Multiple Choice

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by $y = x ^ { \frac { 3 } { 4 } } , y = 1$ , and $x = 0$ about the $y$ -axis.

• A) \(V = \pi \int _ { 0 } ^ { 1 } y ^ { \frac { 8 } { 3 } } d y = \frac { 3 } { 11 } \pi\)
• B)\(V = \pi \int _ { 0 } ^ { 1 } y ^ { \frac { 8 } { 3 } } d y = \frac { 3 } { 22 } \pi\)
• C)\(V = \pi \int _ { 0 } ^ { 1 } y ^ { \frac { 4 } { 3 } } d y = \frac { 3 } { 11 } \pi\)
• D)\(V = \pi \int _ { 0 } ^ { 1 } y ^ { \frac { 3 } { 4 } } d y = \frac { 3 } { 22 } \pi\)
• E)\(V = \pi \int _ { 0 } ^ { 1 } y ^ { \frac { 3 } { 8 } } d y = \frac { 3 } { 11 } \pi\)

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