Picture a pop can. Pop cans are generally all the same shape and have the same general dimensions.
Over the past two to three decades, energy drinks have risen in popularity. When you think of an energy drink can, it is likely easy to picture. However, despite containing the same amount of liquid as a pop can and having the same cylindrical shape, the can you imagined probably had distinctly different dimensions. The dimensions of a pop can have a surprisingly significant impact on both sales and profit. Why do you think energy drinks tend to be longer and narrower?
Source: https://images.app.goo.gl/x4gbo3d1VgWR4qTA9
You design it!
Imagine that you have been tasked with creating a new healthy energy drink. You are responsible for naming the drink and designing the can. The can needs to be able to hold 355mL of liquid. To add extra space for air in the can, the volume needs to be 360 cubic centimeters. You are responsible for designing the dimensions of the can. Choose the radius first and then solve for the accompanying height. Use 3.14 as a value for π. Once you've got your dimensions, create a graphic design for your can that will make it attractive to buyers.
Source: https://flexbooks.ck12.org/cbook/ck-12-interactive-middle-school-math-8-for-ccss/section/8.2/primary/lesson/finding-missing-dimensions-of-cylinders-msm8-ccss
Math: Your final product should demonstrate your understanding of volume, including the dimensions and the work related to solving for the dimensions.
Media: Your can design should be to scale (the same size as the actual can) and demonstrate effort and consideration in design. You want your can to sell, sell, sell!
WARNING! Energy drinks should not be consumed by teens. See the following infographic to see what happens 24 hours after drinking an energy drink.