The Surface Area of the Surface $3 z = x y$

Multiple Choice

The surface area of the surface $3 z = x y$ in the first octant lying inside $x ^ { 2 } + y ^ { 2 } = 9$ is

A) $\frac { 3 \pi ( 2 \sqrt { 2 } - 1 ) } { 8 }$
B) $\frac { \pi ( 2 \sqrt { 2 } - 1 ) } { 6 }$
C) $\frac { \pi ( 2 \sqrt { 2 } - 1 ) } { 24 }$
D) $\frac { 3 \pi ( 2 \sqrt { 2 } - 1 ) } { 2 }$
E) $\frac { 3 \pi ( 2 \sqrt { 2 } - 1 ) } { 4 }$