### Home > CALC > Chapter 7 > Lesson 7.2.3 > Problem 7-87

7-87.

THE WEDDING CAKE, Part Two7-87. Kiki is still trying to decide on her wedding cake. She decided to keep the same shape and size but instead have 8 layers. Therefore, the diameters of the layers would be 16, 14, 12, 10, 8, 6, 4, and 2 inches. Each layer for this cake would only be 2 inches tall. Homework Help ✎

Set up a Riemann sum to evaluate the volume of the cake.

Find the volume of this latest design.

A Riemann sum does NOT have to be written in sigma notation.

Your setup should be concise and preferably written as a single equation.

*V* = 2*π*(8^{2} + 7^{2} + ... ) in^{3}