### Question Description

I’m working on a calculus discussion question and need a sample draft to help me learn.

The height of the cylinder is 8 inches.

We’ll be analyzing the surface area of a round cylinder – in other words the amount of material needed to “make a can”.

A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let

Part a: Assume that the height of your cylinder is

Part b: Continue to assume that the height of your cylinder is

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Hints:

- To calculate an inverse function, you need to solve for
r . Here you would start withA=2πr2+16πr . This equation is the same as2πr2+16πr−A=0 which is a quadratic equation in the variabler , and you can solve that using the quadratic formula. - If you want to type in
3π+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit.

Part c: If the surface area is

Hint: To compute a numeric square root such as

- Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3)
- Use a browser to connect to the Internet and type in sqrt(17.3) into a search field
- Use a calculator

The radius is inches if the surface area is

I will need a step-by- explanation plus the answers. Let me know if you need anything else.