calculus

posted by .

A cylindrical metal can with an open top is to be constructed. the can must have a capacity of 24pie cubic inches. the metal used to contruct the bottom of the can costs 3 times as much as the metal in the rest of the can. Find the dimensions(radius and height) of the can that will minimize the cost of its construction.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    A right cicular cylindrical can is to be constructed to have a volume of 57.749 cubic inches (one quart). The sides of the can are to be formed by rolling and welding a strip of metal, which may be purchased in rolls with width equal …
  2. math

    A right cicular cylindrical can is to be constructed to have a volume of 57.749 cubic inches (one quart). The sides of the can are to be formed by rolling and welding a strip of metal, which may be purchased in rolls with width equal …
  3. math

    A right cicular cylindrical can is to be constructed to have a volume of 57.749 cubic inches (one quart). The sides of the can are to be formed by rolling and welding a strip of metal, which may be purchased in rolls with width equal …
  4. calculus

    A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2/ft2. The metal for the four rectangular sides costs $3/ft2. Find the dimensions that minimize cost if the box …
  5. the lagrange multiplier equation

    A cylindrical oil-storage tank is to be constructed for which the following costs apply: cost per square meter metal for sides $30.00 (cost per square meter) combined costs of concrete base and metal bottom $37.50(cost per square meter) …
  6. math-optimal diameterand height

    A cylindrical oil-storage tank is to be constructed for which the following costs apply: cost per square meter metal for ides $30.00 combined costs of concrete base and metal bottom $37.50(cost per square meter) top 7.50 (cost per …
  7. calculus

    A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $4 per square foot and the metal for the sides costs $4 per square foot. Find the dimensions that minimize cost …
  8. Calculus

    A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $2 per square foot and the metal for the sides costs $7 per square foot. Find the dimensions that minimize cost …
  9. lagrange multipliers

    A cylindrical oil-storage tank is to be constructed for which the following costs apply: cost per square meter metal for ides $30.00 combined costs of concrete base and metal bottom $37.50(cost per square meter) top 7.50 (cost per …
  10. calculus

    A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $5 per square foot and the metal for the sides costs $2 per square foot. Find the dimensions that minimize cost …

More Similar Questions