Mathematics

Mathematics

Problem

A region is bounded by the line x=y2x = \frac{y}{2}, the line y=4y = 4, and the yy -axis. Compare the volume V1V_{1} generated by rotating this region about the yy -axis with the volume V2V_{2} generated by rotating the same region about the line x=−2x = -2. Determine the ratio V2V1\frac{V_{2}}{V_{1}}.

Browse the problem library