5 Steps to a 5 AP Calculus BC 2019

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