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?  

Recently Asked Questions

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
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Let our 24/7 Algebra tutors help you get unstuck! Ask your first question.
A+ icon
Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors