1. The problem is to find the volume of the solid obtained by rotating a region about the x-axis. 2. The formula for the volume of a solid of revolution about the x-axis using the disk method is: $$V = \pi \int_a^b [f(x)]^2 \, dx$$ where $f(x)$ is the function defining the curve and $[a,b]$ is the interval. 3. To solve, you need the function $f(x)$ and the limits $a$ and $b$. 4. Substitute $f(x)$ into the formula, square it, and integrate over $[a,b]$. 5. Multiply the integral by $\pi$ to get the volume. 6. If you provide the function and interval, I can compute the exact volume.