To find the height of a cylindrical figure given the volume \( V \), radius \( r \), and that the volume is given by the formula:
\[ V = \pi r^2 h \]
we can rearrange this formula to solve for the height \( h \):
\[ h = \frac{V}{\pi r^2} \]
Given:
- Volume \( V = 32403240\pi \) cubic cm
- Radius \( r = 9 \) cm
First, we need to calculate \( \pi r^2 \):
\[ r^2 = 9^2 = 81 \]
So,
\[ \pi r^2 = \pi \times 81 \]
Now, substituting this into the formula for height:
\[ h = \frac{32403240\pi}{\pi \times 81} \]
The \( \pi \) in the numerator and denominator cancel out:
\[ h = \frac{32403240}{81} \]
Now, we need to perform the division:
\[ h = 400400 \]
Thus, the height of the figure is:
\[ \boxed{400400} \text{ cm} \]