THE WEDDING CAKE, Part One
Kiki is ordering a wedding cake for her upcoming reception. She is considering a four-layer circular cake, where the diameters are
Write a Riemann sum to approximate the volume of Kiki’s cake.
Recall that a Riemann sum is a sum of the area of many rectangles.
Sigma notation is a tool to concisely write that sum, but it is not essential that you use sigma notation.
The bakery has informed Kiki that she should have approximately
in3 of cake per guest at the reception. She expects guests at her wedding. Will she have enough cake?
In order for Kiki to have enough cake to feed her guests, the total volume of all
layers of cake should exceed cubic inches.