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Suppose the solid $W$ in the figure is a cone centered about the positive z-axis with its vertex at the origin, a $90^{\circ}$ angle at its vertex, and topped by a sphere radius $6$ . Find the limits of integration for an iterated integral of the form

$\displaystyle \iiint\limits_W \, dV = \int_A^B \!\! \int_C^D \!\! \int_E^F \! \rho^2 \sin(\phi) \, d\rho \, d\phi \, d\theta.$

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

If necessary, enter $\rho$ as rho, $\phi$ as phi, and $\theta$ as theta.

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