4. A cylindrical tank with a given volume V (V is a constant) is to be made without a lid. The material for the bottom costs five times as much per unit area as that for the sides. What should be the ratio of the height to the radius for minimum cost?

Q: A box whose base length is 3 times its base width and with a volume of 144ft3 is to be constructed.…

A: Given Data The volume of the box is V=144 ft3. The cost of the material of the top and bottom of the…

Q: 40. Minimizing cost. A rectangular garden measuring 1200 yd? is to be enclosed on two parallel sides…

A: Let x be the length and y be the width of the rectangular garden. The area is given by:…

Q: The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The…

A: we need to find the minimal cost

Q: A cylinder shaped can needs to be constructed to hold 350 cubic centimeters of soup. The material…

A:

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: We have to find Radius of the can, Height of the can and Minimum cost.

Q: A box with a square base and open top must have a volume of 296352 cm³. We wish to find the…

A: It is provided that the base of the box is square and top of the box is open. The volumeV of the box…

Q: 12. A closed-top box with length equal to double its width is to have a volume of 72 ft³. What is…

A: Introduction: The lowest point on a vertex is the minimum value of a function. Your equation will…

Q: 12 We want to construct a box whose base length is 3 times the base width. The material used to…

A: Let base width of the box is b = x Then base length of the box will l = 3x Let height of the box = h…

Q: 9. A tank has hemispherical ends and a cylinder center. The cost (per square meter) of manufacturing…

A:

Q: To minimize th Radius of the c Height of the c Minimum cost:

A: We want to minimize  costs. Note that we have the constraint that it must hold 250 cubic centimeters…

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: Volume of the cylinder = 600 cubic centimetres. Cost of material on the side of the can = 0.03 cents…