3.6 Optimization: Quiz
Problem 3
A typical aluminum can made to hold 12 ounces (about 350 grams) of soda or another liquid is shaped as a cylinder, has dimensions radius = r and height = h, and weighs about 12 grams. It is assumed to be uniformly constructed, so when the can is full, its center of mass is in the middle of the can. When the can is gradually emptied, the center of mass drops as the liquid drops. When the can is empty, its center of mass is once more in the middle of the can.
What is the lowest point reached by the center of mass during the emptying of the can?