Use the Given Transformation to Evaluate the Integral Where $R$ Is the Interior of the Ellipsoid

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } x = 6 u , y = 9 \mathrm { v } , z = 2 w ; \\\quad \iiint \left( \frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 81 } + \frac { z ^ { 2 } } { 4 } \right) ^ { 3 } d x d y\end{array}$$
where $R$ is the interior of the ellipsoid $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 81 } + \frac { z ^ { 2 } } { 4 } = 1$

A) $36 \pi$
B) $81 \pi$
C) $72 \pi$
D) $27 \pi$