Results 1 to 2 of 2

Math Help - Solids Of Revolution

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    109

    Solids Of Revolution

    Find the volume of the solid that is generated by rotating around the indicated axis the plane region bounded by the given curves. Sketch the region and a typical rectangle that generates a 'disc' or 'washer'.

    y=2e^{-x} , x=0 , y=1 , about the x-axis.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    480
    Quote Originally Posted by qzno View Post
    Find the volume of the solid that is generated by rotating around the indicated axis the plane region bounded by the given curves. Sketch the region and a typical rectangle that generates a 'disc' or 'washer'.

    y=2e^{-x} , x=0 , y=1 , about the x-axis.
    method of washers ... V = \pi \int_a^b [R(x)]^2 - [r(x)]^2 \, dx<br />

     <br />
R = 2e^{-x}<br />

     <br />
r = 1<br />

     <br />
a = 0 <br />

     <br />
b = \ln{2}<br />

     <br />
V = \pi \int_0^{\ln{2}} (2e^{-x})^2 - (1)^2 \, dx<br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solids of Revolution
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 24th 2011, 08:04 AM
  2. Solids of Revolution
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 13th 2009, 11:42 AM
  3. solids of revolution
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 2nd 2009, 10:05 PM
  4. Solids of Revolution
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 14th 2007, 08:17 AM
  5. solids of revolution
    Posted in the Calculus Forum
    Replies: 11
    Last Post: June 9th 2007, 01:30 PM

Search Tags


/mathhelpforum @mathhelpforum