Results 1 to 2 of 2

Math Help - Work Integration Problem

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    17

    Work Integration Problem

    I'm currently having a hard time with this problem:

    A tank in the shape of an inverted right circular cone has height meters and radius meters. It is filled with meters of hot chocolate.
    Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is

    I've tried a few methods using integration and got 41322265.046 Joules as an answer but that was wrong. Any ideas?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,698
    Thanks
    454
    Quote Originally Posted by fleabass123 View Post
    I'm currently having a hard time with this problem:

    A tank in the shape of an inverted right circular cone has height meters and radius meters. It is filled with meters of hot chocolate.
    Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is

    I've tried a few methods using integration and got 41322265.046 Joules as an answer but that was wrong. Any ideas?
    W = 1460g \cdot \pi \int_0^7 \left(\frac{5y}{7}\right)^2 (7-y) \, dy
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integration - Work Problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: March 2nd 2010, 06:05 PM
  2. Work Integration problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 26th 2010, 05:19 AM
  3. Solving a work problem with integration
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 2nd 2009, 04:07 PM
  4. Work-Related Integration Problem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: October 24th 2009, 03:34 PM
  5. Application of integration : Work problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 1st 2009, 10:27 AM

Search Tags


/mathhelpforum @mathhelpforum