CPM Homework Help : CALC3RD Problem 7-80

THE WEDDING CAKE, Part Two

Kiki is still trying to decide on her wedding cake. She has decided to keep the same shape and size but instead have $8$ layers. Therefore, the diameters of the layers will be $16, 14, 12, 10, 8, 6, 4$ , and $2$ inches. Each layer for this cake will be $2$ inches tall.

Set up a Riemann sum to evaluate the volume of the cake.
Hint (a):
A Riemann sum does NOT have to be written in sigma notation.
Your setup should be concise and preferably written as a single equation.
Calculate the volume of this latest design.
Step (b):
$V = 2π(8^2 + 7^2 + ... ) \text{ in}^3$