Sketch the graph and compute the volume of the solid of revolution generated by:
![\[ f(x) = x^2, \qquad \text{on} \qquad -1 \leq x \leq 2. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-fe01ce0ca215fd1cd05712fac4e4cb6f_l3.png "Rendered by QuickLaTeX.com")
The sketch of the ordinate set of 
on ![[-1,2]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-fb8824a2cfb0755172b76aa69bbbf338_l3.png "Rendered by QuickLaTeX.com")
is as follows:
We then compute the volume of the solid of revolution.
![\[ V = \int_{-1}^2 \pi x^4 \, dx = \pi \left. \frac{x^5}{5} \right|_{-1}^2 = \frac{33 \pi}{5}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-cfa68da8c3912f7ed68409d5f76d7613_l3.png "Rendered by QuickLaTeX.com")
Sketch the graph and compute the volume of the solid of revolution generated by:
The sketch of the ordinate set of on is as follows:
We then compute the volume of the solid of revolution.