Find the volume generated by rotating the given region about the specified line.$R_2$ about $y=0$

Step by Step Solution: Step 1. Sketch the region R2 and the line y=0 on the coordinate plane. Step 2. Identify the axis of rotation, which in this problem is the x-axis. Step 3. Express the equation for $R_2$ in terms of x. Let the function be y = f(x). Step 4. Using the disk method, the formula for finding the volume of the solid is given by:\n$V=\pi {\int }_a^b(f(x){)}^{2}dx$, where a and b represent the interval of x for which the region R2 exists. Step 5. Solve the integral from step 4 using integration techniques to find the volume of the solid. Step 6. State the final answer with correct units of measure.