1. Limited time only! Sign up for a free 30min personal 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 sphere with a cylindrical hole

  1. Aug 30, 2015 #1
    Hello all,

    I am doing homework and have come upon this question:
    A cylindrical hole is drilled all the way through the center of a sphere (as shown in the figure below). Show that the volume of the remaining solid depends only on the length L of the hole, not on the size of the sphere.
    Figure:
    Screen Shot 2015-08-30 at 2.25.22 PM.png

    I think the problem should be solved using cylindrical shells, but I'm not sure how I should start it. Can anyone give me a hint?

    Thanks
     
  2. jcsd
  3. Aug 30, 2015 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    If this is homework, in future, please fill out the Homework template and post it in the relevant HW forum.

    [Note: I've moved this thread to the Calculus HW forum for you.]
     
  4. Aug 30, 2015 #3

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Hello dhph,

    How about if you try to find the volume of such a bead by revolving the shaded area around the x-axis ? Good chance R drops out !

    upload_2015-8-31_0-8-24.png
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Volume of a sphere with a cylindrical hole
  1. Find Volume of sphere (Replies: 8)

  2. Volume of sphere (Replies: 13)

Loading...