A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measured from the tips of each hemisphere) that can be safely transported to clients is 16 m long. The design of the tank calls for a cylindrical part in the middle, with hemispheres at each end. If the hemispheres are twice as expensive per unit area as the cylindrical part, find the radius and height of the cylindrical part so the cost of manufacturing the tank will be minimal. Give your answers correct to the nearest centimetre.

Q: A food manufacturer packages his product in 1-liter cans that are right circular cylinders. If the…

A:

Q: A gutter with trapezoidal

A: Given, a gutter with a trapezoidal cross-section is to be made from a long strip of metal that is 22…

Q: Afarmer owns 1000 m of fence and wants to enclose the largest possible rectangular area. The region…

A: we use second derivative test to find dimensions where area is maximum

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: Two children weighing 44 pounds and 76 pounds are going to play on a seesaw that is 10 feet long.…

A: Solution

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

A:

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

A:

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should…

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging.…

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

A: Here The material for the side costs = 20 pesos per cm2 The material for the base costs = 5 pesos…

Q: A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of…

A: The sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right The…

Q: A cylinder is designed to hold one quart of liquid (or 58 cubic inches). What should the dimensions…

A:

Q: A drink can, in the form of a cylinder, needs to have a volume of 750 cm³. The material for the top…

A:

Q: A wire 50 ft long is divided into two parts to form a circle and a square. What is the radius of the…

A:

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Given,A fence is built to enclose a rectangular area of 240 square feet. The material required to…

Q: it is planned to construct a right circular cylindrical steam boiler. the available budget for the…

A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…