How to find the minimum dimension?

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AeidilKirito

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A can containing 13.5 in3 of tuna and water is to be made in the form of a circular cylinder. What dimensions of the can will require the least amount of material?
 
Formula for Volume of a Right Circular Cylinder? Good place to start.

Formula for Total Surface Area of the same? Good place to continue.
 
AeidilKirito said:
Formula for Total Surface Area want to take with base and top or just the base?
Click to expand...

You are essentially being asked to find the dimensions of a right circular cylinder having a particular volume, which minimizes the entire surface area, which will include the top, bottom and lateral areas.

Are you in Calc I or Calc III?
 
AeidilKirito said:
A can containing 13.5 in3 of tuna and water is to be made in the form of a circular cylinder. What dimensions of the can will require the least amount of material?
Click to expand...
It is a can of tuna, so yes it will have a top and bottom.
 
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