Let be the solid generated when the region bounded by the curve

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

S

be the solid generated when the region bounded by the curve

y=e^{-x}

, the

x

-axis, and the lines

x=0

and

x=1

is revolved about the horizontal line

y=2

. Approximate the volume of

S

to three decimal places.