Calculate the exact volume of the solid produced by revolving the region bounded by •…

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

Problem

Calculate the exact volume of the solid produced by revolving the region bounded by •

y = 2

for

0 \le x \le 2

, •

y = 4 - x

for

2 \le x \le 4

, • the

x

-axis, about the

x

-axis. Express your answer in terms of

\pi