Sketch the graph and compute the volume of the solid of revolution generated by:
![\[ f(x) = \sqrt{x}, \qquad \text{on} \qquad 0 \leq x \leq 1. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-a526559c06c8e8ab3d1ef5725640cde9_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.
![\[ V = \int_0^1 \pi x \, dx = \pi \left. \frac{x^2}{2} \right|_0^1 = \frac{\pi}{2}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-439aea0edf3c842fd39f7e8d3779a0b1_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.