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

y = x

for

-1 \le x \le 0

, •

y = x^2

for

0 \le x \le 1

, • the

x

-axis, about the

x

-axis. Express the volume in terms of

\pi