$\text { Find the mass of the surface lamina } S \text { of density } \rho \text {. }$

Multiple Choice

$\text { Find the mass of the surface lamina } S \text { of density } \rho \text {. }$ $S : \sqrt { 64 - x ^ { 2 } - y ^ { 2 } } , \rho ( x , y , z ) = k z$

A) $513 k \pi$
B) $1024 k ^ { 3 } \pi$
C) $511 k ^ { 2 } \pi$
D) $511 k \pi$
E) $1024 k \pi$