When the region enclosed by and for is revolved about the -axis

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

When the region enclosed by

y=3-x

and

y=x

for

0\le x\le 3

is revolved about the

x

-axis, the integral used to compute the volume must be split at one

x

-value because the outer and inner radii switch roles. At which

x

-value should the split occur? (a)

x=1

(b)

x=0.75

(c)

x=1.5

(d)

x=2