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7-23.

THE WEDDING CAKE, Part One

Kiki is ordering a wedding cake for her upcoming reception. She is considering a four-layer cake, where the diameters are , , , and inches. Each layer will be inches tall.

  1. Write a Riemann sum to approximate the volume of her 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.

  2. The bakery has informed her that she should intend to have approximately in 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.