Hi, I am looking on how you would approch this type of question: A conical shape

Question

Hi, I am looking on how you would approch this type of question:

A conical shape container has a volume of 8 m^3. Material for the base costs of $ 4 per square meter and material for the side $ 2 per square meter.

    A. Find a formula that expresses the total cost of the materials as a function of the radius of the base.

    B. What is the domain of the cost function obtained in part (a.)?

    C. Plot the cost function.

I really just need help understanding how to get the function, domain and plotting the graph is easy. Please show work so I can study it.

Explanation / Answer

cost = 2*pi*r*s+4*pi r^2 s=slant height=sqrt(r^2+h^2)

given 1/3pir^2h=8

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