The region bounded by the graph of and the -axis for is revolved about the line

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

Problem

The region bounded by the graph of

y=4-x^{2}

and the

x

-axis for

0\le x\le 2

is revolved about the line

y=-2

. Calculate the exact volume of the solid generated.