Evaluate the triple integral $\iiint\limits_D z \ dV$ over this domain $D$ Evaluate the integral $$ \iiint \limits_D z \ dV ,$$ where $D$ is the region bounded by the planes $y = 0$, $x = 0$, $z = 0$, $z = 1$, and the cylinder $x^2+y^2=1$ with $x,y \ge 0$. 

Isn't the answer simply $\pi/4$ ? It is a quarter cylinder of unit height and unit radius, right?
