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alex7881
14.02.2020 •
Mathematics
Which series of transformations show that triangle A is similar to triangle B?
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Ответ:
Required volume is
unit.
Step-by-step explanation:
Given equations of curves,
substitute second in first we will get,
When
and
. Thus both curves intersect at the points (4,16),(-4,16). And thus
.
Considering width of the representative rectangle as
which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,
Now,
Length of generating box=Length of
from line x=4(axis of revolution)=circumference of the shell=(4-x)
Width of box=![(36-x^2)-x^2](/tpl/images/0560/5522/132ab.png)
Hence,
which is required volume of generating area.