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 solid region

  1. Oct 22, 2006 #1
    so i have one problem and i just need to know if my integral is right. any help would be greatly appreciated

    1. a ball of radius 10 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.

    i know volume of cylinder removed is pi*5^2*10*sqrt(3)

    because h^2/4 + 5^2=10^2 so h = sqrt(300)= 10*sqrt(3)

    and i know the volume of original sphere is 4/3*pi*10^3

    and now what?
    i think i need to do integral of pi*(100-y^2) dy from 10 to 10*sqrt(3) and multiply this whole answer by 2
    is that right?

    if so what do i do with these three pieces of information?

    thank you!!!
    Last edited: Oct 23, 2006
  2. jcsd
  3. Oct 24, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    I advise you to be meticulous in setting up the limits of integration.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Volume of solid region
  1. Volume of Solid (Replies: 8)

  2. Volume of a solid (Replies: 5)

  3. Volume of Solids (Replies: 0)

  4. Volume of solid (Replies: 5)

  5. Volume of a region (Replies: 3)