MathDB
2016 Guts #1

Source:

August 14, 2022
2016Guts Round

Problem Statement

Bill is buying cans of soup. Cans come in 22 shapes. Can AA is a rectangular prism shaped can with dimensions 20×16×1020\times16\times10, and can BB is a cylinder shaped can with radius 1010 and height 1010. Let α\alpha be the volume of the larger can, and β\beta be the volume of the smaller can. What is αβ\alpha-\beta?