Let
![\[ f(x) = \sqrt{x}, \qquad g(x) = 1, \qquad 0 \leq x \leq 1.\]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-07e181b24c2f7204c2df66480cde063b_l3.png "Rendered by QuickLaTeX.com")
Sketch the graph of region between these functions and compute the volume of the solid of revolution generated by revolving this region about the 
-axis.
The sketch of the region between 
and 
is as follows:
We then compute the volume of the solid of revolution as follows.
![\[ V = \pi \int_0^1 (1-x) \, dx = \pi - \left( \frac{\pi}{2} \right) = \frac{\pi}{2}.\]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-e1645ce5b66cb2d2abd76d6fd512ad8d_l3.png "Rendered by QuickLaTeX.com")