The region between the curve and the -axis for is the base of a solid

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

Problem

The region between the curve

y=4-x^{2}

and the

x

-axis for

-2\le x\le 2

is the base of a solid. Cross sections perpendicular to the

x

-axis are rectangles whose height is twice their base width. Calculate the exact volume of the solid.