The region bounded by ,

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

Problem

The region bounded by

x = y^{2}

x = y + 2

, and

0 \le y \le 3

is revolved about the

y

-axis. Decide which subinterval,

0 \le y \le 2

2 \le y \le 3

, contributes the greater volume to the solid. Support your choice with a brief calculation.