Lesson 01 Appsof Integrals Mar17
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Volume by slices
Transcript of Lesson 01 Appsof Integrals Mar17
Volume by slices
a b x
y
The volume of a solid between x = a and x = bhaving a crosssectional are A(x) at input x is:
V = a
b
A(x) dx
Find the volume of a right circular cone with base radius 1 and height 4.
0 x 4
A(x) = x216
V = 0
4
A(x) dx
V = 13 r2 h
13
(1)2 4
34
=
=
Confirms value from previous screen
f(x) = x2
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.
Exercise 8.2
Questions 1 9
