Suppose That $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$

Multiple Choice

Suppose that $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$ where g is a function of one variable such that $g ( 5 ) = 8$ . Evaluate $\iint _ { S } f ( x , y , z ) d S$ where S is the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$

A) $920 \pi$
B) $820 \pi$
C) $800 \pi$
D) $880 \pi$
E) None of these