Julie has 6 yellow pencils, 8 blue pencils, 3 red pencils, and 5 green pencils in a box. If Julie randomly selects 1 pencil, wha
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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