<u>My work:</u> To easily achieve this problem take the numbers -4 and 4 and multiply. (-4 * 4) When there is a number by a a parentheses with a number inside you always multiply. When you multiply this you get your answer -16.
The two curves intersect at two points, (0, 0) and (8, 8):
The area of a semicircle with diameter is . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of between 0 and 8. Over this interval, and , so the volume of this solid is given by the integral