Find the volume of the solid generated by revolving the region described about the Y axis:

Between (0,0) and (0,2), the triangular region between those points on the y-axis and the straight line x=3y/2
using the formula V=∫π[R(y)]²dy

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This shows how to find the volume of the given solid of revolution.

... Please see the attached file. Several volumes of solids of revolution are calculated, and the general formula for the volume of such a solid is derived. ...

... used to find the volume of the solids so formed. ... perform the rotation to give an *unbounded* solid of revolution... We can attempt to find a volume for this object ...

... 36. Set up the integral for the surface area of the surface of revolution, and approximate the integral with a ... 18. Compute the volume of the solid formed by ...

... by the graphs of y = x and Figure 20.1 is rotated around the line y = x. Find (a) the centroid of the region and (b) the volume of the solid of revolution. ...

... In the following posting, volumes of solids of revolution are found using the ... problem, sketch the region and then find the volume of the solid where the ...

... edu/visual.calculus/5/volumes.5/ http://en.wikipedia.org/wiki/Solid_of_revolution. Hopr this helps Thanks again Yinon. A volume of solid of revolution is found. ...

... Please see the detailed solution in the attached WORD file. The solution explains how to step up the integral to solve the volume of the solid of revolution. ...