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Another volume problem

  1. Mar 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Find the volume of the solid whose base is the region bounded by the lines x=0, y=0, and y= 3*(4-x)^1/2 and whose corss-sections perpendicular to the x-axis are rectangles whose heights are two times the base.


    2. Relevant equations

    b*h


    3. The attempt at a solution

    The function ends at 4, so limits are 0 to 4.
    Height is 2x base
    so we have 2b^2

    4
    ∫2*(3(4-x)^1/2)^2
    0

    And then solve the definite integral, I believe that is correct.
     
  2. jcsd
  3. Mar 26, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Looks correct to me as well.
     
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