Question part points submissions used use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about x = 4. y = 3x4, y = 0, x = 2.

Step-by-step explanation:

We are given that curves y= is rotated about x=4 .

Given that y=0 and x=2

We have to find the volume V generated by rotating the region bounded by the curves with the help of method of cylindrical shells.

First we find the intersection point

Substitute y=0 then we get

0=

x=0

Hence, x changes from 0 to 2.

Radius =4-x

Height of cylinder =y=

Surface area of cylinder =

Volume V generated by the rotating curves

=

V=

V=

V=

V=

Hence, the volume V generated by rotating the region by the given curves about x =4=.

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step-by-step explanation: