1) A cylindrical glass is to be made to hold 250 cm3 of water. If the...

1) A cylindrical glass is to be made to hold 250 cm3 of water. If the cost of making the cylindrical surface of the glass is half the cost of making the bottom surface, what are the dimensions of the glass such that the cost of making it is minimized?

2) We want to construct a box with a square base and we only have

10 m2 of material to use in construction of the box. Assuming that all the materials is used in the construction process. Determine the maximum volume that the box can have.

Expert Solution

Please LIKE my solution. Thank you.

milcah answered 2 years ago

The following experiment was carried out: 1.Prepare 250 cm3 of a solution of hydrogen peroxide by...

The following experiment was carried out: 1.Prepare 250 cm3 of a solution of hydrogen peroxide by adding 7.5 cm3 of the stock solution supplied to the volumetric flask and diluting to the required volume. 2. Pipette 25.0 cm3 of this solution into a conical flask. 3. Add 10 cm3 of 1 mol dm-3 sulphuric acid in a measuring cylinder. 4. Titrate the mixture against the potassium manganate (VII) until a permanent pale pink colour appears in the conical flask. 5....

You take a glass of water (.45 L) made of Pyrex out of your kitchen cabinet...

You take a glass of water (.45 L) made of Pyrex out of your kitchen cabinet and fill it up to the very top with very cold water, at 5oC. You put it in the microwave and heat it up until the temperature is 90 oC. How much water spills out of the Pyrex glass? Instead of glass, how much would spill out if the cup was aluminum? Instead of water in the Pyrex glass, what if you had alcohol?...

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;...

Liquid 1: Water (density: 1g/cm3) Water displaced = 156 mL mass of object was found to...

Liquid 1: Water (density: 1g/cm3) Water displaced = 156 mL mass of object was found to be 156 g Liquid 2: Saltwater (density: 1.02 g/cm3) water displaced: 158.4 mL Mass of object was found to be 161.568 g Use what you know about Archimedes’ Principle: specifically the equations and , where the wsubscript refers to the liquid the object floats on and the o subscript refers to the object itself. Derive a formula that relates the densities of the object and...

Wyatt is designing a hollow cylindrical metal can with volume 1000 cm3. The material used to...

Wyatt is designing a hollow cylindrical metal can with volume 1000 cm3. The material used to make the circular top and bottom of the can costs twice as much as the material used to make the side of the can. What dimensions should Wyatt choose in order to minimize the cost of the can? Show all your work, round off the numerical part of your final answer to four (4) decimal places, and express your final answer in the form...

A cylindrical glass tank with a diameter of 8.6 cm and a height of 25 cm...

A cylindrical glass tank with a diameter of 8.6 cm and a height of 25 cm is inverted and inserted into another tank of water. If no air is allowed to escape from the glass container when submerged, what is the height of the air column in the glass tank when its edge is 2.0 m below the surface of the water?

Tempered glass is made by heating glass to a temperature to 620 ºC, then cooling it...

Tempered glass is made by heating glass to a temperature to 620 ºC, then cooling it quickly by spraying the surface in a procedure known as quenching. Quenching cools the outer surfaces more quickly than the center. As the center cools, it tries to pull back from the outer surfaces, which results in tension of the center and compression of the surfaces, which gives tempered glass its strength. The specific heat capacity of glass is 0.84 J/g ºC. A 23.6...

Solution A contained 40 cm3 volume of wine diluted to 100 cm3 using deionized water. Solution...

Solution A contained 40 cm3 volume of wine diluted to 100 cm3 using deionized water. Solution B contained 1 cm3 taken from Solution A and diluted to 10 cm3 with deionised water. After running Solution B through the GC it was found it contained 0.045 cm3 of ethanol. What is the % alcohol by volume (ABV) in the original wine sample?

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 cylindrical glass beaker of height 1.272 m rests on a table. The bottom half of...

A cylindrical glass beaker of height 1.272 m rests on a table. The bottom half of the beaker is filled with a gas, and the top half is filled with liquid mercury that is exposed to the atmosphere. The gas and mercury do not mix because they are separated by a frictionless, movable piston of negligible mass and thickness. The initial temperature is 276 K. The temperature is increased until a value is reached when one-half of the mercury has...

Question