A manufacturer is making cylindrical cans with radius r and height h. Corporate says the volume...

 

Transcribed Image Text:

A manufacturer is making cylindrical cans with radius r and height h. Corporate says the volume of the cans must be 550 mL (i.e. cm³) exactly. Corporate also says the base of the can should be made out of a "smart wifi-enabled" material that tracks consumer can use patterns. This material costs 2 times as much as the material used for the sides and top of the can. What are the dimensions r and h of the can that minimize the total cost. A manufacturer is making cylindrical cans with radius r and height h. Corporate says the volume of the cans must be 550 mL (i.e. cm³) exactly. Corporate also says the base of the can should be made out of a "smart wifi-enabled" material that tracks consumer can use patterns. This material costs 2 times as much as the material used for the sides and top of the can. What are the dimensions r and h of the can that minimize the total cost.

Answer rating: 100% (QA)

To minimize the total cost you need to set up an equation for the cost in terms of the variables r r... View the full answer