A cylindrical container that has a capacity of 18 m3 is to be produced. The top...

A cylindrical container that has a capacity of 18 m3 is to be produced. The top and bottom of the container are to be made of a material that costs $25 per square meter, while the side of the container is to be made of a material costing $15 per square meter. Find the dimensions that will minimize the cost of the material. (Round your answers to three decimal places.)

Expert Solution

milcah answered 2 years ago

A rectangular storage container with an open top is to have a volume of 10 m3....

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

A rectangular storage container with an open top is to have a volume of 8 m3....

A rectangular storage container with an open top is to have a volume of 8 m3. The length of this base is twice the width. Material for the base costs $6 per square meter. Material for the sides costs $10 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

A factory has a buffer with a capacity of 4 m3 for temporarily storing waste produced...

A factory has a buffer with a capacity of 4 m3 for temporarily storing waste produced by the factory. Each week the factory produces k m3 waste with a probability pk, where p0=1/8, p1=1/2, p2=1/4 and p3=1/8. If the amount of waste produced in one week exceeds the remaining capacity of the buffer, the excess is specially removed at a cost of 30 per m3. At the end of each week there is a regular opportunity to remove the waste...

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height)...

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height) will minimize the surface area?

A water tank consists of a cylindrical part of radius r and height h and a hemispherical top. The tank is to be constructed to hold 600 m3

A water tank consists of a cylindrical part of radius r and height h and a hemispherical top. The tank is to be constructed to hold 600 m3 when filled. The surface area of the cylindrical part is 2πrh, and its volume is πr2h. The surface area of the hemispherical top is given by 2πr2, and its volume is given by 2πr3/3. The cost to construct the cylindrical part of the tank is $400 per square meter of surface area;...

A hollow cylindrical container has an inner radius of 7.3040 cm as stated from the manufacturer....

A hollow cylindrical container has an inner radius of 7.3040 cm as stated from the manufacturer. The height of container is measured to be 20.50 cm. The thickness of the container walls can be neglected. For each part, round the final answer to the correct number of significant figures. a) Calculate the volume of this cylinder with the correct number of significant figures and units of . b) The container is filled to the top with water. The water molecules...

A sealed container of volume 7 m3 has two compartments with a barrier in between them....

A sealed container of volume 7 m3 has two compartments with a barrier in between them. In one compartment, there is O2 at an initial pressure of 3 atm, initial temperature of 540 K, and volume 3 m3. In the other compartment, there is CO2 at an initial pressure of 5 atm, initial temperature of 430 K, and volume 4 m3. The barrier in the middle is punctured and the two gases mix together. What is the final pressure and...

- In a cylindrical container with a base area A, there are N monatomic gas particles...

- In a cylindrical container with a base area A, there are N monatomic gas particles at temperature T which are ideal. The upper part of the container is closed with a lid which has a weight M and can moves upward and downward without friction . There is vacuum on the lid and the whole system is under gravity. a) Calculate the balance position of the lid. When performing this calculation, you can assume that the cover is quite...

A container has 9.0 ml of liquid X with a density of 1200 kg/m3. How much...

A container has 9.0 ml of liquid X with a density of 1200 kg/m3. How much liquid Y with a density of 1400 kg/m3 should be added to the flask so that the density of the liquid mixture is 1280 kg/m3?

Pure hydrogen is contained in a long cylindrical container at a pressure of 10 ATM and...

Pure hydrogen is contained in a long cylindrical container at a pressure of 10 ATM and a temperature of 325 K. The inner diameter of the container is 50 mm and the wall thickness is 4 mm. Air flowing outside of the container does not contain any hydrogen. The mass diffusivity and the solubility of hydrogen in the container material are 1.8x10-11 m2/s and 16 kmol/(m3 ATM), respectively. (a) What is the rate of hydrogen transfer through the walls of...

Question