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Suppose the solid $W$ in the figure is part of a circular cylinder of diameter $8$ and height $4$ centered about the z-axis, its base on the xy-plane, with $y \leq 0$ and a conical portion cut out. Find the limits of integration for an iterated integral of the form

$\displaystyle \iiint\limits_W f \, dV = \int_A^B \!\! \int_C^D \!\! \int_E^F \! f(r,\theta,z) \, dz \, r dr\, d\theta.$

A =
B =
C =
D =
E =
F =

If necessary, enter $\theta$ as theta.

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