Find $I _ { z } \text { for the indicated solid with density function } p = k x y z \text {. }$

Multiple Choice

Find $I _ { z } \text { for the indicated solid with density function } p = k x y z \text {. }$

A) $\frac{5,764,801 k}{8}$
B) $\frac { 40,353,607 k } { 8 }$
C) $\frac { 823,543 k } { 16 }$
D) $\frac { 5,764,801 k } { 16 }$
E) $\frac { 823,543 k } { 8 }$