Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A few questions

  1. Sep 21, 2005 #1
    The first is how did he figure out that the volume of a cone and a sphere is equal to that of a cylinder?

    How do you prove that some infinite series are larger than others?

    What does : and the verticle dash mean again?
  2. jcsd
  3. Sep 22, 2005 #2
    research yourself
  4. Sep 23, 2005 #3


    User Avatar
    Science Advisor

    1. How did who figure it out? Archimedes?

    2. I don't- I don't even know how to compare the size of series. Do you mean that the sum of some infinite series is larger than the sum of others?

    3. The vertical dash may have many meanings depending on the context.
    (Odd, I don't remember having told you that before.)
  5. Sep 23, 2005 #4
    In order to understand the awnser to those quesions dracobook you'll need precalculus and calculus. Exept I really ignore how the Greeks calculated the volume and area of a sphere without calculus.
  6. Sep 23, 2005 #5


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    As to 1., if I remember correctly, Archimedes made a clever "balancing argument" for this in his work "The Method"(?).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook