Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: What is the volume of this tree using integral?

  1. Feb 17, 2007 #1
    1. The problem statement, all variables and given/known data
    The circumference of a tree at different heights above the ground is given in the table below.
    Assume that all horizontal cross-sections of the tree are circles.

    [tex]\begin{array}{cccccccc}\text{Height} & 0 & 20 & 40 & 60 & 80 & 100 & 120 \\
    \text{Circumference} & 31 & 28 & 21 & 17 & 12 & 8 & 2\end{array}[/tex]


    2. Relevant equations
    Estimate the volume of the tree. (Measurements are in inches.)


    3. The attempt at a solution
    I already try to do this by finding the linear function of the radius of the tree from 0-20, 20-40 and so on but this takes a long time. I have to solve this using integrals, is there any faster way to do this?
     
  2. jcsd
  3. Feb 17, 2007 #2

    Gib Z

    User Avatar
    Homework Helper

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook