Evaluate the Triple Integral $\iiint _ { E } 1 d V$

question 225

Multiple Choice

Evaluate the triple integral $\iiint _ { E } 1 d V$ in cylindrical coordinates, where $E = \{ ( r , \theta , z ) \mid 0 \leq r \leq 1,0 \leq \theta \leq \pi , 0 \leq z \leq 1 \}$ .

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

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