What should the height of a cylinder of radius $5$ be to optimize its volume? [on hold]












0















What should the height of a cylinder be, in order to optimize its volume. Keep in mind the cylinder has a radius of 5 cm.







calculus







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put on hold as off-topic by Lord Shark the Unknown, KM101, ja72, Théophile, Strants 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – KM101, Théophile, Strants

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
    – Don Thousand
    2 days ago








  • 3




    The height could be arbitrarily large.
    – Hello_World
    2 days ago






  • 2




    Or just $0$. The question doesn’t seem to be complete.
    – KM101
    2 days ago






  • 1




    By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
    – John Doe
    2 days ago








  • 1




    The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
    – gandalf61
    2 days ago
















0















What should the height of a cylinder be, in order to optimize its volume. Keep in mind the cylinder has a radius of 5 cm.







calculus







share|cite|improve this question









New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by Lord Shark the Unknown, KM101, ja72, Théophile, Strants 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – KM101, Théophile, Strants

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
    – Don Thousand
    2 days ago








  • 3




    The height could be arbitrarily large.
    – Hello_World
    2 days ago






  • 2




    Or just $0$. The question doesn’t seem to be complete.
    – KM101
    2 days ago






  • 1




    By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
    – John Doe
    2 days ago








  • 1




    The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
    – gandalf61
    2 days ago














0












0








0








What should the height of a cylinder be, in order to optimize its volume. Keep in mind the cylinder has a radius of 5 cm.







calculus







share|cite|improve this question









New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












What should the height of a cylinder be, in order to optimize its volume. Keep in mind the cylinder has a radius of 5 cm.







calculus




calculus






share|cite|improve this question









New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Blue

47.7k870151




47.7k870151






New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









Eesha Fawad

6




6




New contributor




Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Eesha Fawad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by Lord Shark the Unknown, KM101, ja72, Théophile, Strants 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – KM101, Théophile, Strants

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Lord Shark the Unknown, KM101, ja72, Théophile, Strants 2 days ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – KM101, Théophile, Strants

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
    – Don Thousand
    2 days ago








  • 3




    The height could be arbitrarily large.
    – Hello_World
    2 days ago






  • 2




    Or just $0$. The question doesn’t seem to be complete.
    – KM101
    2 days ago






  • 1




    By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
    – John Doe
    2 days ago








  • 1




    The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
    – gandalf61
    2 days ago














  • 1




    What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
    – Don Thousand
    2 days ago








  • 3




    The height could be arbitrarily large.
    – Hello_World
    2 days ago






  • 2




    Or just $0$. The question doesn’t seem to be complete.
    – KM101
    2 days ago






  • 1




    By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
    – John Doe
    2 days ago








  • 1




    The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
    – gandalf61
    2 days ago








1




1




What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
– Don Thousand
2 days ago






What have you tried. I'm not sure what you mean by optimize. Please read our guide on how to ask a good question.
– Don Thousand
2 days ago






3




3




The height could be arbitrarily large.
– Hello_World
2 days ago




The height could be arbitrarily large.
– Hello_World
2 days ago




2




2




Or just $0$. The question doesn’t seem to be complete.
– KM101
2 days ago




Or just $0$. The question doesn’t seem to be complete.
– KM101
2 days ago




1




1




By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
– John Doe
2 days ago






By "optimize", do you mean "maximize"? In which case, it can be arbitrarily large. Or perhaps you mean to maximise its volume - surface area ratio?
– John Doe
2 days ago






1




1




The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
– gandalf61
2 days ago




The question seems to be incomplete. Usually an optimisation problem includes some constraint - for example, a maximum surface area for the cylinder.
– gandalf61
2 days ago










1 Answer
1






active

oldest

votes


















2














A formula for the volume of a cylinder depending on its height is



$$V(h) = hcdot A$$



where $A$ is the area of its base. This area is given by $A = r^2cdot pi$. Now unless any other conditions are placed on the cylinder then by letting $h$ get bigger the volume grows and therefore there is no maximum volume. Minimum would occur when $h=0$ but then it is hardly a cylinder...






share|cite|improve this answer




























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    2














    A formula for the volume of a cylinder depending on its height is



    $$V(h) = hcdot A$$



    where $A$ is the area of its base. This area is given by $A = r^2cdot pi$. Now unless any other conditions are placed on the cylinder then by letting $h$ get bigger the volume grows and therefore there is no maximum volume. Minimum would occur when $h=0$ but then it is hardly a cylinder...






    share|cite|improve this answer


























      2














      A formula for the volume of a cylinder depending on its height is



      $$V(h) = hcdot A$$



      where $A$ is the area of its base. This area is given by $A = r^2cdot pi$. Now unless any other conditions are placed on the cylinder then by letting $h$ get bigger the volume grows and therefore there is no maximum volume. Minimum would occur when $h=0$ but then it is hardly a cylinder...






      share|cite|improve this answer
























        2












        2








        2






        A formula for the volume of a cylinder depending on its height is



        $$V(h) = hcdot A$$



        where $A$ is the area of its base. This area is given by $A = r^2cdot pi$. Now unless any other conditions are placed on the cylinder then by letting $h$ get bigger the volume grows and therefore there is no maximum volume. Minimum would occur when $h=0$ but then it is hardly a cylinder...






        share|cite|improve this answer












        A formula for the volume of a cylinder depending on its height is



        $$V(h) = hcdot A$$



        where $A$ is the area of its base. This area is given by $A = r^2cdot pi$. Now unless any other conditions are placed on the cylinder then by letting $h$ get bigger the volume grows and therefore there is no maximum volume. Minimum would occur when $h=0$ but then it is hardly a cylinder...







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered 2 days ago









        Olof Rubin

        1,080315




        1,080315















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