The data below shows the number of hours in a week twenty five teenagers spent watching ty. Their times, correct to the nearest
1 answer:
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Answer:
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=.