Sllelng a hemlspherlcal cake a cake is shaped like a hemisphere of radius 4 with its base on the xy—plane. a wedge of the
cake is removed by making two slices from the center of the cake outward, perpendicular to the xy—plane and separated
by an angle of q)

3. use a double integral to find the volume of the slice for q) = 0/4. use geometry to check your answer.

b. now suppose the cake is sliced by a plane perpendicular to the xy—plane at x = a > 0. let d be the smaller of the two
pieces produced. for what value of a is the volume of d equal to the volume in part (a)?