(5) Cross Sectional Slicing. Let's nd the volume of a three-dimensional solid object with a at \"base\" sitting on the xy-plane in the rst quadrant, pictured below-left. The base is a region enclosed between two curves in the xy-plane. The entire volume can be thought of as a sum of an innite number of semicircular slices, each of which is perpendicular to the zitaxis. Several are pictured below-right. yaxis (a) To begin the calculation, we rst identify the base as the region bounded above by the graph of f(;r:) = and below by the graph of 9(m) = 1:2. Then we draw a sample vertical slice perpendicular to the :raxis, which is the line segment showing. Draw in two additional sample vertical slices perpendicular to the maxis. y-axis it) = v'E D 0.5 1 (b) By slightly tilting the xy-plane, we see that each line segment above in (a) is the diameter of a semicircular slice, see top-right. The length of the line segment (the diameter) can be found as the distance between the upper function and lower function, i.e. upper minus lower. At a generic mvalue, use the given upper function f (1:) = and lower function 9(23) = 2:2 to write the diameter d as a single function of 51