You have been asked to order a three-layer cake for the party. In order to feed 75 people, the bakery gave you the following two options for the size of each layer:
Option 1: Option 2:
Layer 1 - 10-inch diameter Layer 1- 11-inch diameter
Layer 2 - 8-inch diameter Layer 2- 7-inch diameter
Layer 3 - 6-inch diameter Layer 3- 4-inch diameter
Each layer is shaped like a cylinder and will have a height of 4 inches. The bakery charges $0.50 per cubic inch of cake.
What is the total cost of cake Option 1?
What is the total cost of cake Option 2?
Must show work and formulas