A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How to solve the dimensions of a cylindrical container that can hold a 250 ml water?

  • This Question is Open
  1. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the volume of a cyclinder is pi * r^2 * h where r is radius of the end of th ecylinder and h is the lenght (or height) of the cylinder. You can see that the volume depends on r AND h so there is not ONE solution to the question. You need to define r or h or a relationship betwen them before you can work out specific dimensions

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't understand... kindly explain it further.

  3. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you could have a short wide cylinder or a tall narrow one BOTH having volume 25ml |dw:1443616515327:dw| the volume is pi * r^2 * h so there are different combinations of r and h which give the same volume

  4. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (I meant 250 ml above ) But it is the same concept for all volumes - you can have differnt shapes which contain the same volume

  5. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So - does your question give you any more information?

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I mean, we are given a problem stated that: Goal: To find the best dimensions and shapes of a container that will hold a 250 ml. of guava Juice. Then the situation is: Each group will play the role of a Package Designer. You are to design a container that will hold 250 ml. of guava juice.

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The best container is the one that has the least material cost but is the most efficient one. Use table of values to find the dimension of the can that minimizes the surface area. 1. Make 1 cylindrical container, 1 rectangular container, and 1 cubic container.

  8. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can't have a rectangular container - a rectangle is a flat shape do you mean a 'cuboid' if so - it will be the same answer as the cube. Are you studying maxima and minima? Does that include differential calculus?

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nope... I mean a rectangular prism. I don't know the maxima and minima... sorry

  10. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well - I know the answer to these questions but I am not sure how to explain to you. What methods are you currently studying - how have oyu found maximum or minimum values in class?

  11. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this is a calculus question in my book - I'm not sure of anohter way to find the minimum values required

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nope, not yet. We're just studying about volumes.

  13. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well - I will tell you 2 facts to get your answer - but they are derived using calculus so I am not sure how you would get them without being told: The cylinder which ahs the minimum area for a given volume is when the diameter is equal to the height. Th erectangular prism which has the minimum are for a given volume is when all sides are equal (i.e. it is a cube) you can use these to work out the container with minimum area given a volume of 250ml

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what are the formulas of that?

  15. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can do that

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I mean, I still need to know the formula.

  17. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you are studying volumes then you must know th evolume of a cube (l^3) and the volume of a cylinder (pi r^2 h) use the facts above, and the volume = 250 ml to work out the dimensions (1 ml = 1mm^3)

  18. MrNood
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    note it is the DIAMETER = height foir the cylinder (not the radius)

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you mean, 1ml = 1mm^3? and not 1ml=1cm^3?

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.