Areas, Volumes, and Arc Lengths 281
y
x
f(x)
0
k
ab
y = k
h 0
g(y)
y
x
x = h
d
c
Figure 12.4-6
Example 1
Find the volume of the solid generated by revolving about thex-axis the region bounded by
the graph off(x)=
√
x−1, thex-axis, and the linex=5.
Step 1. Draw a sketch. (See Figure 12.4-7.)
y
x
y =
0 15
√x – 1
Figure 12.4-7