Give a Geometric Description of the Solid S Whose Volume $$V = \int _ { 0 } ^ { 2 x } \int _ { x / 4 } ^ { x / 2 } \int _ { 0 } ^ { 2 } \rho ^ { 2 } \sin \phi d \rho d \phi d \theta$$

Essay

Give a geometric description of the solid S whose volume in spherical coordinates is given by $$V = \int _ { 0 } ^ { 2 x } \int _ { x / 4 } ^ { x / 2 } \int _ { 0 } ^ { 2 } \rho ^ { 2 } \sin \phi d \rho d \phi d \theta$$ .