In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V r 2 h and lateral (side) surface area S 2rh A circular disk of radius r has area A r 2 A cylindrical can is to hold 4 cubic inches of frozen orange juice The cost per square inch of constructing the m...

Let r be the radius and h the height ...

In Exercises 52 through 56, you need to know that a cylinder of radius r and height

Question:

In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V = πr²h and lateral (side) surface area S = 2πrh. A circular disk of radius r has area A = πr².

A cylindrical can is to hold 4π cubic inches of frozen orange juice. The cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side. Express the cost of constructing the can as a function of its radius if the cost of the side is 0.02 cent per square inch.

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