Use the Given Transformation to Evaluate the Integral $$\begin{array} { l } x = 10 u , y = 2 v , z = 9 w \\\quad \int _ { R } \int _ { \int } z ^ { 2 } d x d y d z\end{array}$$

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { l } x = 10 u , y = 2 v , z = 9 w \\\quad \int _ { R } \int _ { \int } z ^ { 2 } d x d y d z\end{array}$$
where $R$ is the interior of the ellipsoid $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 4 } + \frac { z ^ { 2 } } { 81 } = 1$

A) $48 \pi$
B) $45 \pi$
C) $60 \pi$
D) $72 \pi$