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.
- $$\begin{array} { l } x = 9 u , y = 10 v , z = 4 w ; \\\quad \int _ { R } \iint \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) d x d y d z\end{array}$$
where $R$ is the interior of the ellipsoid $\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 100 } + \frac { z ^ { 2 } } { 16 } = 1$

A) $144 \pi$
B) $216 \pi$
C) $240 \pi$
D) $288 \pi$