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!

Shells & Cylinders

  1. Apr 5, 2007 #1
    I'm having trouble on this problem -

    Find the volume of the object created by rotating an equilateral triangle around its base. Solve using both shells and cylinders.

    Any help would be appreciated :)
     
  2. jcsd
  3. Apr 6, 2007 #2
    Firstly you have to determine the radius of the circunference who contains the triangle. ( see the graphic below)

    - triangle is an equilateral triangle, because that the angles are 180/3= 60º

    If we draw the radius we have half angle ; 60/ 2 = 30 º

    Whe aply trigonometry :

    Cos 30 = (side/2)/ Radius --> Here you have only one unknown (radius)

    Now, yo have by rotation generated circunference Radius, and the volume of the piece will be :

    V = Pi*(R)^2*H

    :smile:
     

    Attached Files:

  4. Apr 6, 2007 #3

    mjsd

    User Avatar
    Homework Helper

    mmm... where is the axis of rotation that creates the volume?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Shells & Cylinders
  1. Simple shell (Replies: 1)

  2. Intersecting cylinder (Replies: 1)

  3. Volume by Shells (Replies: 1)

  4. Circle of Cylinders (Replies: 1)

Loading...