View the step-by-step solution to:

Question

# A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top

and bottom are made of material that costs 5 cents

5¢ per square​ centimeter, while the sides are made of material that costs 4 cents

4¢ per square centimeter.

a) Express the total cost C of the material as a function of the radius r of the cylinder. Find the right side of the equation. Express the cost in dollars.

​(b) Graph Upper C equals Upper C left parenthesis r right parenthesis

C=C(r) using your graphing utility. Which graph shown below is the graph of​ C(r), as displayed on a graphing​ utility?

For what value of r is the cost C a​ minimum?

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents