It is desired to make a cylindrical canister to contain 9 liters of oil. Find the dimensions to produce boxes with minimum metal costs

Q: A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold…

A:

Q: A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base…

A: Given:

Q: A cylindrical container that is open at the top is to be made from two kinds of material. The…

A:

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

A: Solution : We given the volume of the box v = 50 ft2 Cost of material used to build top and bottom…

Q: A storage box with a square base must have a volume of 80 cubic centimeters. The topand bottom cost…

A: To find the dimension of the storage box that will minimize the cost.

Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

A:

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Given  that length is three times as long as width so let width be x then length will be 3x  let…

Q: A rancher wants to fence off a rectangular corral with an area of 4050 sq. yds next to a river. Find…

A:

Q: A cylindrical drum is to be manufactured from a synthetic material and is to hold 547 m³ of liquid.…

A: The solution is given below in the next step:

Q: A rectangular box is to have a square base and a volume of 81 ft3. If the material for the base…

A:

Q: A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base…

A:

Q: A closed rectangular box is to have a volume of 250 cubic centimeters. If the material for the top…

A: Given:  Volume=250 cm3

Q: Find the dimensions of a cylinder of volume 5 m3 of minimal cost if the top and bottom are made of…

A: In order to solve this problem, first we need to find the expression that represents the total cost.…

Q: A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base…

A: Volume= x2y= 16 So, y= 16/x2   total cost:

Q: An industrial tank is to be formed by adjoining two hemispheres to the ends of a right circular…

A:

Q: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

Q: A worker is to construct an open rectangular box with a square base and a volume of 128 ft. If…

A:

Q: Find the dimensions of a cylinder of volume 1 m3 of minimal costif the top and bottom are made of…

A: The formula to find the volume of the cylinder is given below: V=πr2h where V represents volume, r…

Q: A firm wants to build cylindrical containers to transport its cargo. The volume of each container…

A:

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

A:

Q: A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material…

A:

Q: A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material…

A: We know that the total surface area of a cylinder with radius r and height h, is A=2πrh+r. Volume of…

Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

A: The solution is given below:

Q: A rectangular parking area measuring 5000 ft? is to be enclosed on three sides using chain-link…

A: The explanation of answer as follows

Q: A box with a square base and a closed top has a volume of 20 cubic ft. the cost of material for the…

A: Given:     Volume of square base = 20 cubic feet.…

Q: A worker is to construct an open rectangular box with a square base and a volume of 128 ft, If…

A:

Q: A box with a volume of 530 cm3530 cm3 is to be constructed. The sides of the box cost 3 cents per…

A: Given, Volume of the box = 530 cm3 Sides of the box cost = 3 cents/cm2 Top and bottom cost = 6…

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

A:

Q: You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will…

A: We have to find the dimensions of the cylinder.

Q: A rectangular box is to have a square base and a volume of 24ft^3. If the material for the base…

A: Let x denotes the side of the base and y denotes the height of the rectangular box.

Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

A:

Q: The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is…

A:

Q: A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base…

A:

Q: the base of an aquarium with given volume V is made of slate and the sides are made of glass. if the…

A:

Q: A company wishes to manufacture a box with a volume of 20 cubic feet that is open on top and is…

A:

Q: Find the dimensions of a cylinder of volume 3 m³ of minimal cost if the top and bottom are made of…

A:

Q: The cost of producing an ordinary cylindrical tin can is determined by the materials used for the…

A: Given:       Volume =1000 cm3       Volume of cylindrical tin V=πr2h      then,            πr2h=1000…

Q: A box with a square base and open top must have a volume of 32000 cm³. Find the dimensions of the…

A: To find the dimensions of the box that minimize the amount of material used to construct it.

Q: A box with a volume of 512cm3 is to be constructed. The sides of the box cost 2 cents per cm2, and…

A: Given the volume of the box is

Q: From a tract of land, a developer plans to fence a rectangular region and then divide it into two…

A:

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Consider the dimension of rectangular box be x, 3x, and h. Then, volume is given by V=x×3x×h  =3x2h…

Q: Find the minimum cost of a rectangular box of volume 200 cm³ whose to

A:

Q: A box with a square base and open top must have a volume of 32,000cm3 . Find the dimensions of the…

A:

Q: a rectangular tank that is 864 ft cubed with a square base and open top is to be constructed of…

A: Let the measure of side of square base of tank  is x ft and height of tank is y ft and volume of…

Q: A rectangular box is to have a square base and a volume of 20 ft³. If the material for the base…

A: Given, Rectangular box is to have a square base and a volume of 20 ft3  The material for the base…

Q: the garden is to be 200 square feet, and the fence along the driveway costs $6 per foot while on the…

A:

Q: Find the minimum cost of a rectangular box of volume 190 cmwhose top and bottom cost S cents per cm…

A:

Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

A:

Q: A cylindrical can is to be made to hold 2200 cubic inches of oil. Find the radius and height of the…

A: