The region enclosed by the lines and for is revolved about the horizontal line

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Calculus · Calculus

Problem

The region enclosed by the lines

y=x

and

y=4-x

for

0\le x\le 2

is revolved about the horizontal line

y=6

. Which expression gives the outer radius

R(x)

of a typical washer as a function of

x

? (a)

x+2

(b)

6-x

(c)

4-x

(d)

6