After coming back from the sets of “Nailed it!" Jacques decided to bake a pyramid shaped gradient chocolate cake. A gradient cake is where the chocolate is not homogeneously mixed, rather the density of the chocolate is different at different layers. Suppose the square-base of the pyramid has length 4 inches and the height of the pyramid is 8 inches. The density of the chocolate is given by the function f (y) =% 8/in³, where y is the height of the layer measured from the bottom of the cake. Find the total amount of chocolate that Jacques will need to bake his cake. 8

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