The region under the curve for is revolved about the -axis to form a solid of revolution

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

Problem

The region under the curve

y=e^{-x}

for

x\ge 0

is revolved about the

y

-axis to form a solid of revolution. Which is the volume of this solid? (a)

\pi

(b) \dfrac{\pi}{2} (c)

2\pi

(d) Diverges; the volume is infinite