Most difficult problem

[kuls11]

A candy manufacturer of chocolates make small chocolates wrapped in a layer to a thickness of 1 mm. Every little chocolate is made with 2.5 g of chocolate and is one of the forms described below-

1.Cylinder circular 1 cm in diameter

2.Cube

3. Bowl



Here is some informations about the chocolate and wrapping:
- 1 mL of chocolate weighs 0.8 g and occupies a volume of 1 cm3.
- The manufacturer of chocolates has 1000 kg of chocolate.
- It cost to the manufacturer $2,50 to buy 1 L of candy for wrapping.

a) How many chocolates manufacturer of chocolates can make?


b) What quantity of chocolates is used to wrap a small chocolate shaped in :
1) Cylinder?
2) Cube?
3) Ball?

c) How much money it saves the manufacturer of chocolates by making small chocolates in the shape of a ball rather than the form of:
1) cylinder?
2) cube?

 

[mmm4444bot]

Do you know how to convert all of the weight measurements to grams and all of the volume measurements to cubic centimeters?

 

[wjm11]

A candy manufacturer of chocolates make small chocolates wrapped in a layer to a thickness of 1 mm. Every little chocolate is made with 2.5 g of chocolate and is one of the forms described below-

1.Cylinder circular 1 cm in diameter
cylindre.gif
2.Cube
400px-Necker_cube.svg.jpg
3. Bowl

sphere-jade.jpg

Here is some informations about the chocolate and wrapping:
- 1 mL of chocolate weighs 0.8 g and occupies a volume of 1 cm3.
- The manufacturer of chocolates has 1000 kg of chocolate.
- It cost to the manufacturer $2,50 to buy 1 L of candy for wrapping.

a) How many chocolates manufacturer of chocolates can make?


b) What quantity of chocolates is used to wrap a small chocolate shaped in :
1) Cylinder?
2) Cube?
3) Ball?

c) How much money it saves the manufacturer of chocolates by making small chocolates in the shape of a ball rather than the form of:
1) cylinder?
2) cube?

a) "Every little chocolate is made with 2.5 g" and there are "1000 kg of chocolate." How many can you make?

"1 mL of chocolate weighs 0.8 g and occupies a volume of 1 cm3." This statement contains redundant information; 1 mL always equals 1 cm^3 (or "1 cc"). Since we are given a mass (.8 g) and a volume (1 mL), we can calculate density, using the formula D = M/V. So, D = (.8 g)/(1 cm^3). In order for each chocolate candy to have the same mass, each must have the same volume -- regardless of its shape. It doesn't matter if the shape is a cylinder, cube, or ball (sphere).

The volume of each piece of candy can be determined by rearranging our density formula and solving for V: V = M/D. In our case, we have V = 2.5 g/(.8 g/1 cm^3) = 3.125 cm^3.

You now know what the volume of each cylinder, cube, and sphere (ball) must be. From this information, you should be able to calculate the dimensions of the cube and the sphere. There is a problem with the cylinder however. Your picture did not show any dimensions, so we do not know the height to radius ratio. That information is necessary if we are to calculate the surface area of each piece of candy. (I'm guessing you want surface area in order to calculate the amount of wrapping necessary???)

I do not understand your question, "What quantity of chocolates is used to wrap a small chocolate...". Is it supposed to be "What quantity of wrapping is used to wrap a small chocolate?"

 

[mmm4444bot]

Please stop re-posting this exercise on the other boards. You've posted it five times; once is enough.

We asked you some questions; if you would like some help, please answer the questions.

 

[mmm4444bot]

Sending me verbal abuse via private message will not grease the wheels.

Please respond to our questions about this exercise, or go somewhere else for help.

Thank you! :cool: