# 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 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.

I answered this elsewhere. You must have posted it twice, under different names.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Calculus

An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize

2. ### math

This is a multiple choice question. A total of 835 pieces are made from a strip of stock that has a volume of 50.80 cubic centimeters. Each piece has a volume of 52.0 cubic millimeters. How many cubic centimeters of strip stock

3. ### calc

the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can? volume of cyliner is pi*r^2*h do

4. ### Calculus

A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder with a hempishere at each end. The cost per square foot of constructing the end pieces is twice that of contructing the

1. ### Calc

A rectangular box, with a square base and open at the top is to be constructed. If the volume of the box needs to be 108 cubic feet, what is the minimum surface area?

2. ### pre-calc

A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares.

3. ### ymous

You're standing 14 feet from the edge of a cylindrical water tank and is 26 feet from the point of tangency. the tank is 10 feet tall. what is the volume in cubic feet

4. ### math

A cylindrical gasoline can is 18 inches across and 20 inches tall.which expression represents the approximate volume in cubic inches? (1)(3.14)(9)2(20) 2) (3.14)(9)(202)2 3) (3.14)(18)(20) 4) (3.14(18)2(20) 5) (3.14(36)2(20)

1. ### Algebra

The cone shown has a height of 5 inches and a radius of 1.5 inches. What is the approximate volume of the cone? A. Between 11 and 12 cubic inches B. Between 15 and 16 cubic inches C. Between 35 and 36 cubic inches D. Between 39

2. ### maths-surface area

Cylindrical groove is made in a cylindrical piece of wood of length 17.5cm. The groove is filled with graphite and the cylindrical graphite block is of same length as that of wooden piece. If the diameter of the graphite cylinder

3. ### chemistry

ohh im sorry i also have another problem i don't understand. "A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet." i don't even know what dm means !

4. ### science

A box has sides of 10 cm, 8.2 cm, and 3.5 cm. What is its volume? 287 cm 2.87 cm 3 2.87 cm 287 cm 3 A rock is placed in a graduated cylinder to determine its volume. The following data are obtained. What is the volume of the rock?