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Home Applications of the Integral Volumes of Solids of Revolution Examples Example 4
 
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Example 4

06_applications_of_the_integral-63.gif

Figure 6.2.13

The region between the curves y = x and y = √x is rotated about the y-axis. Find the volume of the solid of revolution.

We make a sketch in Figure 6.2.13 and find that the curves cross at x = 0 and x = 1. We take x for the independent variable and use the Cylindrical Shell Method.

V = 06_applications_of_the_integral-60.gif = 06_applications_of_the_integral-61.gif =

= 06_applications_of_the_integral-62.gif = 2π/15.
Home Applications of the Integral Volumes of Solids of Revolution Examples Example 4

Last Update: 2006-11-22