Find the volume of the solid obtained when the region bounded by and for is revolved…

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

Problem

Find the volume of the solid obtained when the region bounded by

y = x^{2}

and

y = 2x

for

0 \le x \le 3

is revolved about the

x

–axis. Your response must include the sum of all definite integrals used and the exact numerical value of the volume.