This document discusses solids of revolution and how rotating a region bounded by functions about different axes affects the resulting solid. Specifically, it examines how revolving such a region about the y-axis rather than the default x-axis would change the solid obtained, and asks the reader to find the volume of the solid generated by revolving the region between two functions around the x-axis.

1. Solids of Revolution
Rotate-In-Time by flickr user
TheEverlastingFallout

2. How would things be different if the
function is revolved about the y-axis?

3. How would things be different if the
function is revolved about the y-axis?
source

4. How would things be different if the
function is revolved about the y-axis?
source

5. How would things be different if the
function is revolved about the y-axis?
source

6. Consider the region S bounded between the graphs of the functions ƒ and g.
Find the volume of the solid generated by revolving S around the x-axis.