1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Volume of a cone is 10 cubic cm

  1. Oct 4, 2005 #1
    volume of a cone is 10 cubic cm....

    Q: a cone shaped paper drinking cup holds 10 cubic cm of water. We would like to find the height and radius that will require the least amount of paper.

    Volume of a cone is: (b x h)/3, or with radius is: ((pi r squared x h))/3.

    I think you solve this problem by finding a ratio and getting h in terms of r. Any ideas? Thank you!
     
  2. jcsd
  3. Oct 4, 2005 #2
    You know:

    [tex]\text{V}=\frac{\pi\,r^{2}\,h}{3}=10[/tex]

    If I remember correctly, the surface area (what you want to minimize) is:

    [tex]\text{S}=\pi\,r\,\sqrt{r^{2}+h^{2}}[/tex]

    Now minimize this taking into consideration the restraint on volume.
     
    Last edited: Oct 4, 2005
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Volume of a cone is 10 cubic cm
  1. Volume of a cone (Replies: 2)

Loading...