Page 242 - Calculus Workbook For Dummies

226 Part IV: Integration and Infinite Series

9. Same as problem 8, but with f x = x and *10. Use the disk method to derive the formula
2
^ h
g x = 4 x. for the volume of a cone. Hint: What’s
^ h
your function? See the following figure.
Solve It
y
(h, r)

r (h, 0)
(0, 0)
x

h

Solve It

11. Use the cylindrical shells method to find *12. Use the cylindrical shells method to find
the volume of the solid that results when the volume of the solid that results when
2
the area enclosed by f x = x and the area enclosed by sinx, cosx, and the
^ h
3
g x = x is revolved about the y-axis. x-axis is revolved about the y-axis.
^ h
Solve It Solve It