Results 1 to 1 of 1

Math Help - Volume

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    11

    Volume

    A carrot has the shape formed by revolving the region under the graph of f(x)=sqrt(14-x) for 0=<x=<12 cm about the x axis. The concentration of vitamin A is found to vary in the carrot with x according to c(x) = 1/12e^(-x/12) mg/cm^3.

    a) What is the volume of the carrot?
    b) What is the total amount of vitamin A in the carrot?
    c) You want to cut the carrot at a certain value of x, obtaining two pieces of equal volume. How many cm from x=0 do you have to cut?


    I got 96pi for part a. My integral for part b is the integral from zero to twelve of pi(14-x)*c(x)*dx. I can't seem to solve that. Is that even the right integral? Or should the integral be of 2pi*sqrt(14-x)*c(x)*dx?
    Last edited by mr fantastic; April 28th 2010 at 05:23 AM. Reason: Deleted incorrect part of post title.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 18th 2011, 01:08 PM
  2. volume flux, mass flux and volume flo
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: June 7th 2011, 06:30 PM
  3. Replies: 1
    Last Post: May 14th 2010, 04:08 PM
  4. divergence = flux / volume is independant of the limiting volume
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: April 26th 2010, 07:31 PM
  5. volume
    Posted in the Geometry Forum
    Replies: 3
    Last Post: June 10th 2008, 11:15 AM

Search Tags


/mathhelpforum @mathhelpforum