posted by .

you are designing a 1000-cm^3 right circular cylindrical can whose manufacture will take waste into account. There is no waste in cutting the aluminum for the side, but the top and bottom of radius r will be cut from squares that measure 2r units on a side. The total amount of aluminum used up by the can will therefore be: A=8r^2 +2(pi)(r)(h)
What is the ratio of h to r for the most economical can?

  • math -

    Never mind... I got the answer!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    i am having serious optimization problems. i don't get it!!! plz help. a 216-m^2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. what dimensions for …
  2. calculus

    right circular cylindrical tin cans are to be manufactured to contain 400 cm ^3 of volume. There is no waste involved in cutting the tin that goes into the vertical sides of the can, but each end piece is to be cut from a square and …
  3. Plane and Solid Geometry

    A piece of wood whose ends are square was cut from a cylindrical piece of wood which was cut from the same pieces of wood whose ends are squares 10 centimeter by 10 centimeter and length 20 centimeter. Find the volume of wood(smallest …
  4. Elementary Analysis

    A company wants to manufacture cylindrical aluminum cans with a value of 1000cm^3 (1 Liter) What radius and height of the can be to minimize the amount of aluminum used?
  5. Math

    Consider a right circular cylinder whose total surface area (top, bottom, side) is 300 pi; what must its radius be in order that the volume be as large as possible
  6. English

    Choose the best answer 1. What do you get if you mix common bacteria and vinegar. The word common means a. multiple b. ordinary - the answer c. lower-class d. poisonous 2. It is a serious question. The answer is you get bacteria that …
  7. Calculus1

    You are designing a 1000 cubic cm closed cylindrical can with radius r and height h. Assume that there is no waste in cutting the aluminum for the side of the can, but that the circular top and bottom are cut from square sheets of …
  8. Math

    Circular discs of radius 3.5cm are to be cut from a rectangular sheet of cardboard measuring 50cm by 30cm. once the disc are cut out, the remaining parts of the sheet are waste. A. how many disc can be cut from one sheet of cardboard?
  9. chemistry

    Industrial waste contains Zn(II) and cyanide. The waste is toxic to aquatic species like fish. 1- If the waste consists of water, Zn(II) and cyanide, what ligands might complex with Zn(II)?
  10. Environmental Science

    Which type of solid waste is mostly paper, yard waste, food waste and plastics?

More Similar Questions