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Volume by slices
y




            x
    a   b
The volume of a solid between x = a and x = b
having a cross­sectional are A(x) at input x is:


               b
  V =              A(x) dx
           a
Find the volume of a right circular cone with base 
radius 1 and height 4. 
              4
      V =  A(x) dx
          0




                                      0          x    4


                                                          2
                                                      x
                                             A(x) = 
                                                     16
Lesson 01 Appsof Integrals Mar17
V =  1   r2 h
     3

  = 1    (1)2 4
    3

  = 4
     3

                Confirms value from previous screen
If the function below is revolved about the x­axis, find the volume 
of the solid generated between f, the x­axis, x = 0, and x = 2.

 f(x) = x2
Lesson 01 Appsof Integrals Mar17
Exercise 8.2

 Questions 1 ­ 9 

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