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

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 $\pi$