The region in the -plane bounded by the curve

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

Problem

The region in the

xy

-plane bounded by the curve

x = y + 1

, the line

y = 0

, and the line

y = 2

is revolved about the vertical line

x = 5

. What is the volume of the resulting solid? (a)

\dfrac{32\pi}{3}

(b)

\dfrac{28\pi}{3}

(c)

\dfrac{56\pi}{3}

(d)

\dfrac{88\pi}{3}