identify the solid of revolution generated by revolving the region around the fixed line $ell$.
identify the solid of revolution generated by revolving the region around the fixed line $ell$.
Answer
Brief Explanations:
The original region is a trapezoid (a rectangle with one slanted side) adjacent to the vertical line $\ell$. When revolved around $\ell$, the vertical side forms a cylindrical surface, and the slanted side forms a conical surface attached to the bottom of the cylinder. This matches the solid in the top-right option.
Answer:
Top-right option: The solid consisting of a cylinder attached to a pointed cone at its bottom, aligned with line $\ell$.