(Solved): Suppose the solid \( W \) in the figure is a cone centered about the positive \( z \)-axis with it ...

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 4 . Find the limits of integration for an iterated integral of the form \[ \iiint_{W} d V=\int_{A}^{B} \int_{C}^{D} \int_{E}^{F} \rho^{2} \sin (\phi) d \rho d \phi d \theta \] If necessary, enter \( \rho \) as tho, \( \phi \) as \( p h i \), and \( \theta \) as theta. Evaluate the integral to find the volume of the solid \( W \). (Drag to rotate)