Evaluate the Triple Integral $\iiint _ { E } z d V$

question 139

Multiple Choice

Evaluate the triple integral $\iiint _ { E } z d V$ , where E is the wedge in the first octant bounded by $y ^ { 2 } + z ^ { 2 } = 1$ , y = x, and the yz-plane.

• A) \(\frac { 1 } { 4 }\)
• B) \(\frac { 1 } { 8 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 2 } { 3 }\)
• E) \(\frac { 3 } { 4 }\)
• F)1
• G) \(\frac { 5 } { 4 }\)
• H) \(\frac { 4 } { 3 }\)