Posted by **Mike** on Tuesday, November 28, 2006 at 11:17pm.

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.

## Answer this Question

## Related Questions

- math - A right cicular cylindrical can is to be constructed to have a volume of ...
- math - A right cicular cylindrical can is to be constructed to have a volume of ...
- math - A right cicular cylindrical can is to be constructed to have a volume of ...
- Calculus - An OPEN box has a square base and a volume of 108 cubic inches and ...
- pre-calc - A box with an open top is to be constructed by cutting equal-sized ...
- calculus - A cylindrical metal can with an open top is to be constructed. the ...
- math - A cylindrical container has a volume of 226 cubic inches. the container ...
- heat - 20 cubic inches of a gas with an absolute pressure of 5 psi is compressed...
- math 2 - max packs cereal boxes into a larger box the volume of each cereal box ...
- mathematics - A cylindrical gasoline can is 18 inches across and 20 inches tall...