1. Shell Method

2. If the function below is revolved about the x­axis, find the volume of
the solid generated between f, the x­axis, x = 0, and x = 2
f(x) = x2 32
5

3. How would things be different if the function is revolved about the
y­axis? 8
f(x) = x2 32
5

5. Consider the region S bounded between the graphs of the functions ƒ and g.
f(x) = 0.5x2 ­ 2x + 4 g(x) = 4 + 4x ­ x2
Find the volume of the solid generated by revolving S around the x­axis.

6. Consider the region S bounded between the graphs of the functions ƒ and g.
f(x) = 0.5x2 ­ 2x + 4 g(x) = 4 + 4x ­ x2
Find the volume of the solid generated by revolving S around the y­axis.

7. Exercise 8.3

8. Attachments
cylinders