# 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 to the desired height of the can. The material for the sides costs 20 cents per square foot. The welding cost is 1.1 cents per inch. Top and bottom of the can are circles cut from hexagons to minimize the waste. the width of the hexagon is the diameter of the can plus 0.4 inches. the extra inches is crimpled over the sides to form the seal. Crimping costs are 1.6 cents per inch and the material for the ends sells for 30 cents per square foot. The metal for the ends of the cans may be purchased in a rolls which allows for exactly 4 hexagons and exactly 3 hexagons in alternate strips. Find the dimensions of the most economical can which can be constructed to meet these specifications.

1. 👍 0
2. 👎 0
3. 👁 102

## Similar Questions

1. ### 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

asked by Jessica Griffis on November 29, 2006
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

asked by jenni on November 29, 2006
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

asked by ashish on November 29, 2006
4. ### Geometry

Jake has two similar cylindrical pipes. The radius of the first cylindrical pipe is 5 cm. The circumference of the second cylindrical pipe is 20π cm. The volume of the second cylindrical pipe is how many times greater than the

asked by how do i start working on this problem on April 6, 2012
5. ### math

A cylindrical container has a volume of 226 cubic inches. the container is filled 3/4 of the way with water. To the nearest cubic inch, what is the volume of water in the container? How many more cubic inches of water is needed to

asked by sandy on December 6, 2012
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

asked by Alicia on November 18, 2010
7. ### calculus

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

asked by jose on January 17, 2011
8. ### 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

asked by gemicia on December 29, 2013
9. ### 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

asked by sunny on November 15, 2010
10. ### Calculus

1. Chris makes an open-topped box from a 30-cm by 30-cm piece of cardboard by cutting out equal squares from the corners and folding up the flaps to make the sides. What are the dimensions of each square to the nearest hundredth

asked by Icy on June 17, 2007

More Similar Questions