Sketch the graph and compute the volume of the solid of revolution generated by:
![\[ f(x) = x^{1/4}, \qquad \text{on} \qquad 0 \leq x \leq 1. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-49112387f1678b741a52b081cf0a3508_l3.png "Rendered by QuickLaTeX.com")
The sketch of the ordinate set of 
on ![[0,1]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-64e9f50c2e76c065567b46feacd433a8_l3.png "Rendered by QuickLaTeX.com")
is as follows:
We then compute the volume of the solid of revolution.
![\[ V = \int_0^1 \pi x^{1/2} \, dx = \pi \left. \frac{2x^{3/2}}{3} \right|_0^1 = \frac{2 \pi}{3}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-1e321201eb79a7056c97e53ef4d946ca_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.