Solve problem.(Modeling) Dimensions of a Cylinder A cylindrical can makes the most efficie...

Solve problem.

(Modeling) Dimensions of a Cylinder A cylindrical can makes the most efficient use of materials when its height is the same as the diameter of its top.

(a) Express the volume V of such a can as a function of the diameter d of its top.

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(b) Express the surface area S of such a can as a function of the diameter d of its top. (Hint: The curved side is made from a rectangle whose length is the circumference of the top of the can.)