A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number. The volume is about \( \square \) cubic meters.

To find the volume of the cylinder, you can use the formula \( V = \pi r^2 h \). First, we need to determine the height \( h \) of the cylinder using the surface area formula \( SA = 2\pi r(h + r) \). We can plug in the values for the surface area and radius: \[ 1850 = 2\pi \cdot 9(h + 9) \] Solving for \( h \), we get: \[ 1850 = 18\pi(h + 9) \] \[ h + 9 = \frac{1850}{18\pi} \] \[ h = \frac{1850}{18\pi} - 9 \] Now, after calculating \( h \), we can substitute it back into the volume formula to find \( V \). After evaluating the above computations, the volume is approximately \( V \approx 484 \) cubic meters.